diff --git a/docs/language/expressions/lambdas.md b/docs/language/expressions/lambdas.md
index edf7bf389..9fc5218e2 100644
--- a/docs/language/expressions/lambdas.md
+++ b/docs/language/expressions/lambdas.md
@@ -16,6 +16,10 @@ x => x + 1              // single parameter, type inferred
 (x: Int, y: Int) => x + y  // multiple parameters with annotations
 ```
 
+Parameter type annotations must be given for every parameter or omitted for every
+parameter. Partially annotated forms such as `(x: Int, y) => x + y` and
+`(x, y: Int) => x + y` are rejected, even when an expected function type is available.
+
 When the body fits on one line, the lambda is written inline. When it needs multiple phrases, the `=>` introduces a block:
 
 ```jo
diff --git a/docs/language/syntax/syntax-summary.md b/docs/language/syntax/syntax-summary.md
index 6bd50dc98..2d1da09b2 100644
--- a/docs/language/syntax/syntax-summary.md
+++ b/docs/language/syntax/syntax-summary.md
@@ -325,8 +325,9 @@ simple_params = simple_param {"," simple_param}
 simple_param  = name ":" type
 
 lambda_param_section = "(" [lambda_params] ")"
-lambda_params = lambda_param {"," lambda_param}
-lambda_param  = name [":" type]
+lambda_params = name {"," name}
+              | lambda_typed_param {"," lambda_typed_param}
+lambda_typed_param = name ":" type
 
 post_params = post_param {"," post_param}
 post_param  = name ":" type ["=" default_value]
diff --git a/docs/language/types/type-inference.md b/docs/language/types/type-inference.md
index 4b6f7809b..871157eca 100644
--- a/docs/language/types/type-inference.md
+++ b/docs/language/types/type-inference.md
@@ -22,7 +22,8 @@ val flag = true
 
 ## Lambda Parameter Inference
 
-Lambda parameter types can be either inferred from usage or from expected type:
+Lambda parameters must either all have type annotations or all omit them.
+When annotations are omitted, their types can be inferred from usage or from the expected type:
 
 ```jo
 // `x` inferred to have type `Int`
diff --git a/stack-lang/parsing/Parser.scala b/stack-lang/parsing/Parser.scala
index 6fc1e8a02..91f42e271 100644
--- a/stack-lang/parsing/Parser.scala
+++ b/stack-lang/parsing/Parser.scala
@@ -2144,6 +2144,14 @@ class Parser(code: String)(using reporter: Reporter, source: Source):
   def lambda(): Word =
     val lparen = peekItem()
     val paramList = params(typeOptional = true)
+    val typedCount = paramList.count(param => !param.tpt.isEmpty)
+
+    if typedCount > 0 && typedCount < paramList.size then
+      error(
+        "Lambda parameters must either all have type annotations or all omit them",
+        (paramList.head.span | paramList.last.span).toPos,
+      )
+
     val arrow = eat(Token.RARROW)
     val body = block(lparen.indent, arrow)
     Lambda(paramList, body)(lparen.span | body.span)
diff --git a/tests/pos/lambda-parameter-annotations.jo b/tests/pos/lambda-parameter-annotations.jo
new file mode 100644
index 000000000..526aa0f69
--- /dev/null
+++ b/tests/pos/lambda-parameter-annotations.jo
@@ -0,0 +1,16 @@
+def main =
+  val typed = (x: Int, y: Int) => x + y
+  val inferred: (Int, Int) => Int = (x, y) => x + y
+  val unaryTyped = (x: Int) => x * 2
+  val unaryInferred: Int => Int = x => x * 2
+  val nullary = () => 42
+
+  println: typed(2, 3)
+  println: inferred(4, 5)
+  println: unaryTyped(6)
+  println: unaryInferred(7)
+  println: nullary()
+
+  val xs: List[Int ~ Int] = [1 ~ 2, 3 ~ 4]
+  println: xs.fold([], (acc: List[Int], p: Int ~ Int) => acc + p.fst)
+  println: xs.fold[List[Int]]([], (acc, p) => acc + p.fst)
diff --git a/tests/pos/lambda-parameter-annotations.jo.check b/tests/pos/lambda-parameter-annotations.jo.check
new file mode 100644
index 000000000..6d839a86b
--- /dev/null
+++ b/tests/pos/lambda-parameter-annotations.jo.check
@@ -0,0 +1,7 @@
+5
+9
+12
+14
+42
+[1, 3]
+[1, 3]
diff --git a/tests/warn/lambda-partial-annotations.jo b/tests/warn/lambda-partial-annotations.jo
new file mode 100644
index 000000000..74c986711
--- /dev/null
+++ b/tests/warn/lambda-partial-annotations.jo
@@ -0,0 +1,12 @@
+def annotatedFirst =
+  val f: (Int, Int) => Int = (x: Int, y) => x + y
+
+def annotatedLast =
+  val f: (Int, Int) => Int = (x, y: Int) => x + y
+
+def annotatedMiddle =
+  val f: (Int, Int, Int) => Int = (x, y: Int, z) => x + y + z
+
+def foldAccumulator =
+  val xs: List[Int ~ Int] = [1 ~ 2]
+  println: xs.fold([], (acc: List[Int], p) => acc + p.fst)
diff --git a/tests/warn/lambda-partial-annotations.jo.check b/tests/warn/lambda-partial-annotations.jo.check
new file mode 100644
index 000000000..bfb4b2dba
--- /dev/null
+++ b/tests/warn/lambda-partial-annotations.jo.check
@@ -0,0 +1,21 @@
+---------- Error at tests/warn/lambda-partial-annotations.jo:2:31 ---------------
+|   val f: (Int, Int) => Int = (x: Int, y) => x + y
+|                               ^^^^^^^^^
+|                               Lambda parameters must either all have type annotations or all omit them
+
+---------- Error at tests/warn/lambda-partial-annotations.jo:5:31 ---------------
+|   val f: (Int, Int) => Int = (x, y: Int) => x + y
+|                               ^^^^^^^^^
+|                               Lambda parameters must either all have type annotations or all omit them
+
+---------- Error at tests/warn/lambda-partial-annotations.jo:8:36 ---------------
+|   val f: (Int, Int, Int) => Int = (x, y: Int, z) => x + y + z
+|                                    ^^^^^^^^^^^^
+|                                    Lambda parameters must either all have type annotations or all omit them
+
+---------- Error at tests/warn/lambda-partial-annotations.jo:12:25 ---------------
+|   println: xs.fold([], (acc: List[Int], p) => acc + p.fst)
+|                         ^^^^^^^^^^^^^^^^^
+|                         Lambda parameters must either all have type annotations or all omit them
+
+4 error(s), 0 warning(s)