diff --git a/CHANGELOG.md b/CHANGELOG.md
index cc4f9f9..5d1802a 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -22,6 +22,14 @@ goes behind a new pin.
   cannot match. Indirect patterns (`err(e)` where `e`'s type is inferred)
   are out of scope.
 
+- **THR003 — under-declared throws from callback parameter throws annotations.**
+  From `?bs 0.9`, the compiler fires when a function-typed parameter carries
+  `throws { X }` but the containing fn does not declare `throws { X }` in
+  its own header. Calling the callback exercises that throw, so the outer
+  fn's throws surface must cover it. Direct analogue of EFF003/EFF004 for
+  the throws dimension. `throws {}` is stripped from emitted TypeScript
+  (same as `uses {}`, `reads {}`, `writes {}`). Over-declaration is always allowed.
+
 - **DEP001 / DEP002 — `reads {}` / `writes {}` transitivity enforcement.**
   From `?bs 0.9`, the compiler enforces that if fn A calls fn B (in the same
   file) and B declares `reads { x }` (or `writes { x }`), then A must also
diff --git a/packages/compiler/src/error-codes.ts b/packages/compiler/src/error-codes.ts
index ffe7ddd..822ea97 100644
--- a/packages/compiler/src/error-codes.ts
+++ b/packages/compiler/src/error-codes.ts
@@ -384,6 +384,37 @@ const E: Record<string, ErrorCodeEntry> = {
       "  else ok(s)\n" +
       "}",
   },
+  THR003: {
+    code: "THR003",
+    title: "fn under-declares throws implied by callback parameter throws annotations",
+    rule:
+      "if a function-typed parameter carries `throws { X }`, the containing fn can exercise that " +
+      "exception through any call to the callback — so the fn's own `throws {}` must cover it; " +
+      "a fn's throws surface is the union of its own declared throws and the throws its callback " +
+      "parameters may exercise",
+    idiom:
+      "add the callback parameter's throws labels to the containing fn's own `throws { }` clause; " +
+      "this is the direct analogue of EFF003/EFF004 for the throws surface",
+    rewrite:
+      "fn name(...) throws { …existing, CallbackThrown } -> ...",
+    example:
+      "// before — process accepts a handler that throws { NetworkError } but doesn't declare it\n" +
+      "?bs 0.9\n" +
+      "fn process(\n" +
+      "  items: string[],\n" +
+      "  handler: (s: string) throws { NetworkError } -> void\n" +
+      ") -> void {   // THR003: missing throws { NetworkError }\n" +
+      "  handler(items[0])\n" +
+      "}\n\n" +
+      "// after\n" +
+      "?bs 0.9\n" +
+      "fn process(\n" +
+      "  items: string[],\n" +
+      "  handler: (s: string) throws { NetworkError } -> void\n" +
+      ") throws { NetworkError } -> void {\n" +
+      "  handler(items[0])\n" +
+      "}",
+  },
 };
 
 export function getErrorCode(code: string): ErrorCodeEntry | undefined {
diff --git a/packages/compiler/src/parser/parse-fn.ts b/packages/compiler/src/parser/parse-fn.ts
index d8d91fb..6e7cf67 100644
--- a/packages/compiler/src/parser/parse-fn.ts
+++ b/packages/compiler/src/parser/parse-fn.ts
@@ -73,6 +73,14 @@ export interface FnDecl {
    * Example: `(cb: () writes { metrics } -> void)` → `["metrics"]`
    */
   paramWrites: string[];
+  /**
+   * Union of all exception type names declared in `throws { … }` annotations on
+   * function-typed parameters. Empty when no parameter carries a throws annotation.
+   * Used by `passThrCheck` (THR003). Gated on `?bs 0.9`.
+   *
+   * Example: `(handler: (s: string) throws { NetworkError } -> void)` → `["NetworkError"]`
+   */
+  paramThrows: string[];
   capabilities: string[];
   /**
    * Optional declarative read-dependency list, e.g. `reads { cache, db }`. Each
@@ -264,7 +272,7 @@ export function parseFn(
   if (!argsOpen || argsOpen.kind !== "open" || argsOpen.text !== "(" || argsOpen.matchedAt === undefined) return null;
   const argsClose = argsOpen.matchedAt;
   const args = sliceText(tokens, i, argsClose + 1);
-  const { text: argsTs, paramCaps, paramReads, paramWrites } = buildArgsTs(tokens, i, argsClose + 1, opts.src);
+  const { text: argsTs, paramCaps, paramReads, paramWrites, paramThrows } = buildArgsTs(tokens, i, argsClose + 1, opts.src);
   i = argsClose + 1;
   i = skipTrivia(tokens, i);
 
@@ -521,6 +529,7 @@ export function parseFn(
     paramCaps,
     paramReads,
     paramWrites,
+    paramThrows,
     capabilities,
     reads,
     writes,
@@ -690,31 +699,34 @@ function skipTrivia(tokens: Token[], i: number): number {
 /**
  * Build the TypeScript-compatible args string from the args token range.
  *
- * Three transformations applied:
+ * Four transformations applied:
  * 1. Botscript `->` (arrow token) → TypeScript `=>` (function type arrow).
  * 2. `uses { cap, … }` annotations on function-typed parameters are stripped
  *    from the emitted text and their capability names collected into `paramCaps`.
  * 3. `reads { label, … }` and `writes { label, … }` annotations on
  *    function-typed parameters are stripped and collected into `paramReads` /
  *    `paramWrites`.
+ * 4. `throws { Type, … }` annotations on function-typed parameters are stripped
+ *    from the emitted text and their type names collected into `paramThrows`.
  *
  * The stripping is position-independent: any effect annotation inside the args
  * list is treated as a parameter effect annotation. This is safe because the
  * stripping only activates on the specific `uses { ... }` / `reads { ... }` /
- * `writes { ... }` syntax pattern — a keyword/ident token immediately followed
- * by a `{...}` block — not on bare `reads` or `writes` identifiers elsewhere in
- * TypeScript type positions (e.g. `reads` as a field name in an object type).
+ * `writes { ... }` / `throws { ... }` syntax pattern — a keyword/ident token
+ * immediately followed by a `{...}` block — not on bare identifiers elsewhere
+ * in TypeScript type positions (e.g. `reads` as a field name in an object type).
  */
 function buildArgsTs(
   tokens: Token[],
   from: number,
   to: number,
   src?: string,
-): { text: string; paramCaps: string[]; paramReads: string[]; paramWrites: string[] } {
+): { text: string; paramCaps: string[]; paramReads: string[]; paramWrites: string[]; paramThrows: string[] } {
   let out = "";
   const paramCaps: string[] = [];
   const paramReads: string[] = [];
   const paramWrites: string[] = [];
+  const paramThrows: string[] = [];
   let i = from;
   while (i < to) {
     const t = tokens[i]!;
@@ -754,10 +766,22 @@ function buildArgsTs(
         continue;
       }
     }
+    // Strip `throws { types }` and collect the declared exception types.
+    if (t.kind === "ident" && t.text === "throws") {
+      const j = skipTrivia(tokens, i + 1);
+      const open = tokens[j];
+      if (open && open.kind === "open" && open.text === "{" && open.matchedAt !== undefined) {
+        const types = parseLabelList(tokens, j + 1, open.matchedAt, src);
+        for (const ty of types) paramThrows.push(ty);
+        i = open.matchedAt + 1;
+        while (i < to && tokens[i]?.kind === "whitespace") i++;
+        continue;
+      }
+    }
     out += t.text;
     i++;
   }
-  return { text: out, paramCaps, paramReads, paramWrites };
+  return { text: out, paramCaps, paramReads, paramWrites, paramThrows };
 }
 
 function sliceText(tokens: Token[], from: number, to: number): string {
diff --git a/packages/compiler/src/passes/thr-check.ts b/packages/compiler/src/passes/thr-check.ts
index 56a9d71..1b2c336 100644
--- a/packages/compiler/src/passes/thr-check.ts
+++ b/packages/compiler/src/passes/thr-check.ts
@@ -2,8 +2,9 @@
  * Throws declaration check (?bs 0.9+).
  *
  * Enforces transitivity of `throws { ... }` annotations across same-file
- * function calls, and checks that a fn's body does not directly construct
- * error types absent from its own `throws {}` declaration.
+ * function calls, checks that a fn's body does not directly construct error
+ * types absent from its own `throws {}` declaration, and ensures that
+ * callback parameters' throws annotations are reflected in the containing fn.
  *
  *   THR001  throws under-declared: fn A calls fn B which (transitively)
  *           declares `throws { X }` that A does not declare. For a direct
@@ -18,6 +19,12 @@
  *           (`err(e)` where e's type is inferred) are out of scope — token-based
  *           detection only.
  *
+ *   THR003  callback throws not covered: a function-typed parameter carries
+ *           `throws { X }` but the containing fn's own `throws {}` does not
+ *           include X. Calling the callback can surface X, so the outer fn's
+ *           throws surface must cover it (direct analogue of EFF003/EFF004 for
+ *           the throws dimension).
+ *
  * Only same-file call resolution is performed for THR001 (same as cap-check /
  * dep-check). Over-declaration is intentionally NOT checked — a caller may
  * conservatively declare more exception types than it strictly needs.
@@ -131,6 +138,17 @@ export function passThrCheck(src: string, version: VersionInfo): string {
     if (err) throw err;
   }
 
+  // THR003: fn's throws surface must cover all throws declared on callback parameters.
+  for (const decl of decls) {
+    if (decl.paramThrows.length === 0) continue;
+    const declared = new Set(decl.throws ?? []);
+    const missing = [...new Set(decl.paramThrows)]
+      .filter((t) => !declared.has(t))
+      .sort();
+    if (missing.length === 0) continue;
+    throw mkThr003Error(src, decl, missing, declared);
+  }
+
   return src;
 }
 
@@ -300,3 +318,39 @@ function checkBodyErrors(
 
   return null;
 }
+
+function mkThr003Error(
+  src: string,
+  decl: FnDecl,
+  missingThrows: string[],
+  declared: Set<string>,
+): BotscriptError {
+  const entry = getErrorCode("THR003")!;
+  const { line, column } = locationOf(src, decl.fnKeywordStart);
+  const nameEnd = decl.nameStart + decl.name.length;
+
+  const currentDeclStr =
+    decl.throws === undefined
+      ? "no throws clause"
+      : declared.size === 0
+        ? "throws {} (empty)"
+        : `throws { ${[...declared].sort().join(", ")} }`;
+  const proposed = [...new Set([...declared, ...missingThrows])].sort().join(", ");
+  const missingStr = missingThrows.join(", ");
+
+  return new BotscriptError([{
+    code: "THR003",
+    severity: "error" as const,
+    file: null,
+    line,
+    column,
+    start: decl.fnKeywordStart,
+    end: nameEnd,
+    message:
+      `fn '${decl.name}' accepts callback parameter(s) that together declare throws { ${missingStr} } ` +
+      `but '${decl.name}' ${decl.throws === undefined ? "has no throws clause" : `declares ${currentDeclStr}`}`,
+    rule: entry.rule,
+    idiom: entry.idiom,
+    rewrite: `fn ${decl.name}(...) throws { ${proposed} } -> ...`,
+  }]);
+}
diff --git a/packages/compiler/tests/thr-check.test.ts b/packages/compiler/tests/thr-check.test.ts
index dd19886..ef8aa06 100644
--- a/packages/compiler/tests/thr-check.test.ts
+++ b/packages/compiler/tests/thr-check.test.ts
@@ -294,3 +294,111 @@ describe("THR002: body constructs undeclared error type (0.9+)", () => {
     expect(() => compile(src)).not.toThrow();
   });
 });
+
+describe("THR003 — callback parameter throws not covered by containing fn", () => {
+  it("fires when callback parameter declares throws { X } but outer fn has no throws clause", () => {
+    const src =
+      "?bs 0.9\n" +
+      "fn process(\n" +
+      "  items: string[],\n" +
+      "  handler: (s: string) throws { NetworkError } -> void\n" +
+      ") -> void {\n" +
+      "  handler(items[0])\n" +
+      "}\n";
+    expect(() => compile(src)).toThrow("THR003");
+    expect(() => compile(src)).toThrow(/process/);
+    expect(() => compile(src)).toThrow(/NetworkError/);
+  });
+
+  it("fires when callback throws X but outer fn declares throws { Y } (missing X)", () => {
+    const src =
+      "?bs 0.9\n" +
+      "fn apply(\n" +
+      "  f: (s: string) throws { IoError } -> string\n" +
+      ") throws { ParseError } -> string {\n" +
+      "  f(\"x\")\n" +
+      "}\n";
+    expect(() => compile(src)).toThrow("THR003");
+    expect(() => compile(src)).toThrow(/IoError/);
+  });
+
+  it("does not fire when outer fn's throws is a superset of callback throws", () => {
+    const src =
+      "?bs 0.9\n" +
+      "fn process(\n" +
+      "  items: string[],\n" +
+      "  handler: (s: string) throws { NetworkError } -> void\n" +
+      ") throws { NetworkError } -> void {\n" +
+      "  handler(items[0])\n" +
+      "}\n";
+    expect(() => compile(src)).not.toThrow();
+  });
+
+  it("does not fire when outer fn over-declares (superset)", () => {
+    const src =
+      "?bs 0.9\n" +
+      "fn wrap(\n" +
+      "  f: () throws { IoError } -> void\n" +
+      ") throws { IoError, ParseError } -> void {\n" +
+      "  f()\n" +
+      "}\n";
+    expect(() => compile(src)).not.toThrow();
+  });
+
+  it("does not fire when callback parameter has no throws annotation", () => {
+    const src =
+      "?bs 0.9\n" +
+      "fn run(\n" +
+      "  action: (s: string) -> void\n" +
+      ") -> void {\n" +
+      "  action(\"x\")\n" +
+      "}\n";
+    expect(() => compile(src)).not.toThrow();
+  });
+
+  it("does not fire below ?bs 0.9", () => {
+    const src =
+      "?bs 0.8\n" +
+      "fn process(\n" +
+      "  handler: (s: string) throws { NetworkError } -> void\n" +
+      ") -> void {\n" +
+      "  handler(\"x\")\n" +
+      "}\n";
+    expect(() => compile(src)).not.toThrow();
+  });
+
+  it("strips throws {} from callback parameter type in emitted TypeScript", () => {
+    const src =
+      "?bs 0.9\n" +
+      "fn wrap(\n" +
+      "  f: (s: string) throws { IoError } -> string\n" +
+      ") throws { IoError } -> string {\n" +
+      "  f(\"x\")\n" +
+      "}\n";
+    const out = compile(src);
+    expect(out).not.toContain("throws");
+    expect(out).not.toContain("IoError");
+    expect(out).toContain("=> string");
+  });
+
+  it("collects throws from multiple callback parameters, fires when any are missing", () => {
+    const src =
+      "?bs 0.9\n" +
+      "fn both(\n" +
+      "  a: () throws { IoError } -> void,\n" +
+      "  b: () throws { ParseError } -> void\n" +
+      ") -> void {\n" +
+      "  a()\n" +
+      "}\n";
+    expect(() => compile(src)).toThrow("THR003");
+  });
+
+  it("bs explain THR003 entry exists with rule, idiom, and rewrite", async () => {
+    const { getErrorCode } = await import("../src/error-codes.js");
+    const entry = getErrorCode("THR003");
+    expect(entry).toBeDefined();
+    expect(entry!.rule).toMatch(/throws/);
+    expect(entry!.idiom).toBeDefined();
+    expect(entry!.rewrite).toBeDefined();
+  });
+});
diff --git a/packages/mcp/src/explanations.ts b/packages/mcp/src/explanations.ts
index e6f59d1..8fe14f6 100644
--- a/packages/mcp/src/explanations.ts
+++ b/packages/mcp/src/explanations.ts
@@ -521,6 +521,43 @@ export const EXPLANATIONS: Readonly<Record<string, Explanation>> = {
         "}\n",
     },
   },
+  THR003: {
+    code: "THR003",
+    title: "fn under-declares throws implied by callback parameter throws annotations",
+    body:
+      "THR003 fires from `?bs 0.9` when a function-typed parameter carries `throws { X }` " +
+      "but the containing fn does not declare `throws { X }` in its own header.\n\n" +
+      "This is the direct analogue of EFF003 (reads on callback) and EFF004 (writes on callback), " +
+      "applied to the throws surface. When a fn calls its callback parameter, it can exercise the " +
+      "callback's declared throws — so the outer fn's own `throws {}` must be a superset of all " +
+      "callback parameters' throws annotations.\n\n" +
+      "**Why it matters:** a reviewer reading the outer fn's header sees no throws declaration and " +
+      "has no warning that calling it may produce the error type. Callers that match exhaustively on " +
+      "the outer fn's return type will have no arm for the undeclared exception — it becomes dead " +
+      "code or a silent gap.\n\n" +
+      "**Fix:** add the callback parameter's throws labels to the containing fn's own `throws { }` clause.\n\n" +
+      "Over-declaration is allowed — if the containing fn declares more throws types than it can " +
+      "actually exercise, that is harmless (same policy as THR001/THR002).\n\n" +
+      "THR003 is gated on `?bs 0.9`. Files pinned to earlier versions are unaffected.",
+    example: {
+      fails:
+        "?bs 0.9\n" +
+        "fn process(\n" +
+        "  items: string[],\n" +
+        "  handler: (s: string) throws { NetworkError } -> void\n" +
+        ") -> void {\n" +
+        "  handler(items[0])\n" +
+        "}\n",
+      passes:
+        "?bs 0.9\n" +
+        "fn process(\n" +
+        "  items: string[],\n" +
+        "  handler: (s: string) throws { NetworkError } -> void\n" +
+        ") throws { NetworkError } -> void {\n" +
+        "  handler(items[0])\n" +
+        "}\n",
+    },
+  },
 };
 
 export const KNOWN_CODES = Object.keys(EXPLANATIONS).sort();
diff --git a/packages/mcp/tests/server.test.ts b/packages/mcp/tests/server.test.ts
index 868b550..36a8a44 100644
--- a/packages/mcp/tests/server.test.ts
+++ b/packages/mcp/tests/server.test.ts
@@ -62,6 +62,7 @@ describe("botscript-mcp explanations", () => {
       "SYN001",
       "THR001",
       "THR002",
+      "THR003",
       "UNS001",
       "UNS002",
       "UNS003",