diff --git a/CHANGELOG.md b/CHANGELOG.md
index 1bdae0ee5e85b8b1da6a52f9438ac62a635f2efc..972b159c6d2729b7b3364d7bee86018da16e90a9 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,7 +4,11 @@ Change log for curry-frontend
 Under development
 =================
 
- * Type synonyms in typed expressions are now desugared - fixes #921
+  * Added warnings for top-level functions without type signatures - fixes #769
+
+  * Moved pretty-printing of types from Checks.TypeCheck to Base.CurryTypes
+
+  * Type synonyms in typed expressions are now desugared - fixes #921
 
   * Declaration of operator precedence is now optional in infix operator
     declarations
diff --git a/src/Checks/WarnCheck.hs b/src/Checks/WarnCheck.hs
index c3f4bbf0b1ca3b419fdec0cc4ee96108d746a432..7f30589f8a7c5479d64e75d02288378c078443e8 100644
--- a/src/Checks/WarnCheck.hs
+++ b/src/Checks/WarnCheck.hs
@@ -28,6 +28,7 @@ import Curry.Base.Pretty
 import Curry.Syntax
 import Curry.Syntax.Pretty (ppPattern, ppExpr, ppIdent)
 
+import Base.CurryTypes (ppTypeScheme)
 import Base.Messages (Message, posMessage, internalError)
 import qualified Base.ScopeEnv as SE
   ( ScopeEnv, new, beginScope, endScopeUp, insert, lookup, level, modify
@@ -36,7 +37,7 @@ import qualified Base.ScopeEnv as SE
 import Base.Types
 import Env.ModuleAlias
 import Env.TypeConstructor (TCEnv, TypeInfo (..), lookupTC, qualLookupTC)
-import Env.Value (ValueEnv, ValueInfo (..), qualLookupValue)
+import Env.Value (ValueEnv, ValueInfo (..), lookupValue, qualLookupValue)
 
 import CompilerOpts
 
@@ -54,6 +55,7 @@ warnCheck opts aEnv valEnv tcEnv (Module _ mid es is ds)
       checkExports   es
       checkImports   is
       checkDeclGroup ds
+      checkMissingTypeSignatures ds
 
 type ScopeEnv = SE.ScopeEnv QualIdent IdInfo
 
@@ -415,6 +417,32 @@ checkOverlappingAlts (alt : alts) = warnFor WarnOverlapping $ do
   eqPattern _                           _
     = False
 
+-- -----------------------------------------------------------------------------
+-- Check for missing type signatures
+-- -----------------------------------------------------------------------------
+
+-- check if a type signature was specified for every top-level function
+-- declaration
+-- for external function declarations this check is already performed
+-- during syntax checking
+
+checkMissingTypeSignatures :: [Decl] -> WCM ()
+checkMissingTypeSignatures decls = do
+  let tys        = [t | TypeSig _ ts _ <- decls, t <- ts]
+      missingTys = [f | FunctionDecl _ f _ <- decls, f `notElem` tys]
+  unless (null missingTys) $ do
+    mid   <- getModuleIdent
+    tyScs <- mapM getTyScheme missingTys
+    mapM_ report $ zipWith (warnMissingTypeSignature mid) missingTys tyScs
+
+getTyScheme :: Ident -> WCM TypeScheme
+getTyScheme q = do
+  tyEnv <- gets valueEnv
+  return $ case lookupValue q tyEnv of
+    [Value  _ _ tys] -> tys
+    _                                           -> internalError $
+      "Checks.WarnCheck.getTyScheme: " ++ show q
+
 -- -----------------------------------------------------------------------------
 -- Check for non-exhaustive patterns
 -- -----------------------------------------------------------------------------
@@ -858,6 +886,11 @@ typeId = qualify . flip renameIdent 1
 -- Warnings messages
 -- ---------------------------------------------------------------------------
 
+warnMissingTypeSignature :: ModuleIdent -> Ident -> TypeScheme -> Message
+warnMissingTypeSignature mid i tys = posMessage i $ hsep (map text
+  ["Top-level binding with no type signature:", showIdent i, "::"])
+  <+> ppTypeScheme mid tys
+
 warnMultiplyImportedModule :: ModuleIdent -> Message
 warnMultiplyImportedModule mid = posMessage mid $ hsep $ map text
   ["Module", moduleName mid, "is imported more than once"]
diff --git a/test/CheckSignature.curry b/test/CheckSignature.curry
new file mode 100644
index 0000000000000000000000000000000000000000..06da0a99da998a04e9eaf52bb695e89e0d044832
--- /dev/null
+++ b/test/CheckSignature.curry
@@ -0,0 +1,7 @@
+--hw :: String
+hw = "Hello World"
+
+f x = tail x
+  where
+    answer = 42
+    inc i  = i + 1
\ No newline at end of file