diff --git a/grammar.coffee b/grammar.coffee
index cde7da8cf..cab9e22be 100644
--- a/grammar.coffee
+++ b/grammar.coffee
@@ -1,8 +1,11 @@
 compiler = require("tree-sitter-compiler")
-{ blank, choice, repeat, seq, sym, keyword, token, optional } = compiler.rules
+{ choice, repeat, seq, sym, keyword, token, optional, prec } = compiler.rules
+
+commaSep1 = (rule) ->
+  seq(rule, repeat(seq(",", rule)))
 
 commaSep = (rule) ->
-  choice(blank(), seq(rule, repeat(seq(",", rule))))
+  optional(commaSep1(rule))
 
 terminator = ->
   choice(";", sym("_line_break"))
@@ -112,6 +115,7 @@ module.exports = compiler.grammar
       @member_access,
       @subscript_access,
       @function_call,
+      @constructor_call,
       @bool_op,
       @math_op,
       @rel_op,
@@ -123,34 +127,45 @@ module.exports = compiler.grammar
     function_call: -> seq(
       @expression,
       "(",
-      commaSep(@expression),
+      optional(@arguments),
       ")")
 
-    member_access: -> seq(
+    constructor_call: -> prec(1, seq(
+      keyword("new"),
+      @expression,
+      optional(seq(
+        "(",
+        optional(@arguments),
+        ")"))))
+
+    arguments: ->
+      commaSep1(@expression)
+
+    member_access: -> prec(10, seq(
       @expression,
       ".",
-      @identifier)
+      @identifier))
 
-    member_assignment: -> seq(
-        @expression,
-        ".",
-        @identifier,
-        "=",
-        @expression)
+    member_assignment: -> prec(10, seq(
+      @expression,
+      ".",
+      @identifier,
+      "=",
+      @expression))
 
-    subscript_access: -> seq(
+    subscript_access: -> prec(10, seq(
       @expression,
       "[",
       @expression,
-      "]")
+      "]"))
 
-    subscript_assignment: -> seq(
+    subscript_assignment: -> prec(10, seq(
       @expression,
       "[",
       @expression,
       "]",
       "=",
-      @expression)
+      @expression))
 
     object: -> seq(
       "{",
@@ -164,13 +179,12 @@ module.exports = compiler.grammar
 
     function: -> seq(
       keyword("function"),
-      @formal_parameters,
+      optional(@identifier),
+      "(", optional(@formal_parameters), ")",
       @statement_block)
 
-    formal_parameters: -> seq(
-      "(",
-      commaSep(@identifier),
-      ")")
+    formal_parameters: ->
+      commaSep1(@identifier)
 
     statement_block: -> seq(
       "{",
diff --git a/grammar_test/expressions.txt b/grammar_test/expressions.txt
index f0700823f..63ef189dc 100644
--- a/grammar_test/expressions.txt
+++ b/grammar_test/expressions.txt
@@ -113,15 +113,19 @@ function() {};
 function(arg1, arg2) {
   arg2;
 };
+function stuff() {}
 
 ---
 
 (program
-  (expression_statement (function (formal_parameters) (statement_block)))
+  (expression_statement (function (statement_block)))
   (expression_statement (function
     (formal_parameters (identifier) (identifier))
     (statement_block
-      (expression_statement (identifier))))))
+      (expression_statement (identifier)))))
+  (expression_statement (function
+    (identifier)
+    (statement_block))))
 
 ============================================
 Property access
@@ -150,9 +154,25 @@ x.someMethod(arg1, "arg2");
 (program
   (expression_statement (function_call
     (member_access (identifier) (identifier))
-    (identifier) (string)))
+    (arguments (identifier) (string))))
   (expression_statement (function_call
-    (expression (function (formal_parameters) (statement_block))))))
+    (expression (function (statement_block))))))
+
+============================================
+Constructor calls
+============================================
+
+new module.Klass(1, "two");
+new Thing;
+
+---
+
+(program
+  (expression_statement (constructor_call
+    (member_access (identifier) (identifier))
+    (arguments (number) (string))))
+  (expression_statement (constructor_call
+    (identifier))))
 
 ============================================
 Math operators
diff --git a/grammar_test/statements.txt b/grammar_test/statements.txt
index a9cc9b7d3..98383c700 100644
--- a/grammar_test/statements.txt
+++ b/grammar_test/statements.txt
@@ -15,13 +15,13 @@ if (a.b) {
 (program
   (if_statement (identifier)
     (expression_statement (function_call
-      (identifier) (identifier))))
+      (identifier) (arguments (identifier)))))
   (if_statement (member_access (identifier) (identifier))
     (statement_block
       (expression_statement (function_call
-        (identifier) (identifier)))
+        (identifier) (arguments (identifier))))
       (expression_statement (function_call
-        (identifier) (identifier))))))
+        (identifier) (arguments (identifier)))))))
 
 ============================================
 For statements
@@ -41,11 +41,11 @@ for (;;) {
     (var_assignment (identifier) (number))
     (rel_op (identifier) (number))
     (math_op (identifier))
-    (expression_statement (function_call (identifier) (identifier))))
+    (expression_statement (function_call (identifier) (arguments (identifier)))))
 
   (for_statement
     (statement_block
-      (expression_statement (function_call (identifier) (identifier))))))
+      (expression_statement (function_call (identifier) (arguments (identifier)))))))
 
 ============================================
 For-in statements
@@ -61,9 +61,9 @@ for (item in items)
 
 (program
   (for_in_statement (identifier) (identifier)
-    (expression_statement (function_call (identifier) (identifier))))
+    (expression_statement (function_call (identifier) (arguments (identifier)))))
   (for_in_statement (identifier) (identifier)
-    (expression_statement (function_call (identifier) (identifier)))))
+    (expression_statement (function_call (identifier) (arguments (identifier))))))
 
 ============================================
 Return statements
@@ -118,7 +118,7 @@ Comments
     (comment)
     (pair (identifier) (number))
     (comment)
-    (pair (identifier) (function (formal_parameters) (statement_block))))))
+    (pair (identifier) (function (statement_block))))))
 
 ============================================
 Automatic semicolon insertion