diff --git a/src/services/codefixes/fixUnusedIdentifier.ts b/src/services/codefixes/fixUnusedIdentifier.ts
index b7d948b3deb..59d19a1bd9b 100644
--- a/src/services/codefixes/fixUnusedIdentifier.ts
+++ b/src/services/codefixes/fixUnusedIdentifier.ts
@@ -121,9 +121,26 @@ namespace ts.codefix {
                 break;
 
             case SyntaxKind.Parameter:
-                const functionDeclaration = <FunctionDeclaration>parent.parent;
-                if (functionDeclaration.parameters.length === 1) {
-                    changes.deleteNode(sourceFile, parent);
+                const oldFunction = parent.parent;
+                if (isArrowFunction(oldFunction) && oldFunction.parameters.length === 1) {
+                    // Lambdas with exactly one parameter are special because, after removal, there
+                    // must be an empty parameter list (i.e. `()`) and this won't necessarily be the
+                    // case if the parameter is simply removed (e.g. in `x => 1`).
+                    const newFunction = updateArrowFunction(
+                        oldFunction,
+                        oldFunction.modifiers,
+                        oldFunction.typeParameters,
+                        /*parameters*/ undefined,
+                        oldFunction.type,
+                        oldFunction.equalsGreaterThanToken,
+                        oldFunction.body);
+
+                    // Drop leading and trailing trivia of the new function because we're only going
+                    // to replace the span (vs the full span) of the old function - the old leading
+                    // and trailing trivia will remain.
+                    suppressLeadingAndTrailingTrivia(newFunction);
+
+                    changes.replaceRange(sourceFile, { pos: oldFunction.getStart(), end: oldFunction.end }, newFunction);
                 }
                 else {
                     changes.deleteNodeInList(sourceFile, parent);
diff --git a/tests/cases/fourslash/unusedParameterInLambda1.ts b/tests/cases/fourslash/unusedParameterInLambda1.ts
index ace79adae46..fdb53a8a05f 100644
--- a/tests/cases/fourslash/unusedParameterInLambda1.ts
+++ b/tests/cases/fourslash/unusedParameterInLambda1.ts
@@ -2,12 +2,11 @@
 
 // @noUnusedLocals: true
 // @noUnusedParameters: true
-//// function f1() {
-////     [|return (x:number) => {}|]
-//// }
+////[|/*~a*/(/*~b*/x/*~c*/:/*~d*/number/*~e*/)/*~f*/ => /*~g*/{/*~h*/}/*~i*/|]
 
+// In a perfect world, /*~f*/ and /*~h*/ would probably be retained.
 verify.codeFix({
     description: "Remove declaration for: 'x'",
     index: 0,
-    newRangeContent: "return () => {}",
+    newRangeContent: "/*~a*/() => /*~g*/ { }/*~i*/",
 });
diff --git a/tests/cases/fourslash/unusedParameterInLambda2.ts b/tests/cases/fourslash/unusedParameterInLambda2.ts
new file mode 100644
index 00000000000..e2b1be346b8
--- /dev/null
+++ b/tests/cases/fourslash/unusedParameterInLambda2.ts
@@ -0,0 +1,12 @@
+/// <reference path='fourslash.ts' />
+
+// @noUnusedLocals: true
+// @noUnusedParameters: true
+////[|/*~a*/x/*~b*/ /*~c*/=>/*~d*/ {/*~e*/}/*~f*/|]
+
+// In a perfect world, /*~c*/ and /*~e*/ would probably be retained.
+verify.codeFix({
+    description: "Remove declaration for: 'x'",
+    index: 0,
+    newRangeContent: "/*~a*/() => /*~d*/ { }/*~f*/",
+});
diff --git a/tests/cases/fourslash/unusedParameterInLambda3.ts b/tests/cases/fourslash/unusedParameterInLambda3.ts
new file mode 100644
index 00000000000..f95d142d436
--- /dev/null
+++ b/tests/cases/fourslash/unusedParameterInLambda3.ts
@@ -0,0 +1,12 @@
+/// <reference path='fourslash.ts' />
+
+// @noUnusedLocals: true
+// @noUnusedParameters: true
+////[|/*~a*/(/*~b*/x/*~c*/,/*~d*/y/*~e*/)/*~f*/ => /*~g*/x/*~h*/|]
+
+// In a perfect world, /*~c*/ would probably be retained, rather than /*~e*/.
+verify.codeFix({
+    description: "Remove declaration for: 'y'",
+    index: 0,
+    newRangeContent: "/*~a*/(/*~b*/x/*~e*/)/*~f*/ => /*~g*/x/*~h*/",
+});
diff --git a/tests/cases/fourslash/unusedParameterInLambda4.ts b/tests/cases/fourslash/unusedParameterInLambda4.ts
new file mode 100644
index 00000000000..015f081891a
--- /dev/null
+++ b/tests/cases/fourslash/unusedParameterInLambda4.ts
@@ -0,0 +1,11 @@
+/// <reference path='fourslash.ts' />
+
+// @noUnusedLocals: true
+// @noUnusedParameters: true
+////[|/*~a*/(/*~b*/x/*~c*/,/*~d*/y/*~e*/)/*~f*/ => /*~g*/y/*~h*/|]
+
+verify.codeFix({
+    description: "Remove declaration for: 'x'",
+    index: 0,
+    newRangeContent: "/*~a*/(/*~d*/y/*~e*/)/*~f*/ => /*~g*/y/*~h*/",
+});