diff --git a/jedi/plugins/stdlib.py b/jedi/plugins/stdlib.py
index f3ebd35d..92e8c5b2 100644
--- a/jedi/plugins/stdlib.py
+++ b/jedi/plugins/stdlib.py
@@ -471,13 +471,12 @@ def collections_namedtuple(value, arguments, callback):
     return ValueSet([ClassValue(inference_state, parent_context, generated_class)])
 
 
-class PartialObject(object):
-    def __init__(self, actual_value, arguments):
+class PartialObject(ValueWrapper):
+    def __init__(self, actual_value, arguments, instance=None):
+        super(PartialObject, self).__init__(actual_value)
         self._actual_value = actual_value
         self._arguments = arguments
-
-    def __getattr__(self, name):
-        return getattr(self._actual_value, name)
+        self._instance = instance
 
     def _get_function(self, unpacked_arguments):
         key, lazy_value = next(unpacked_arguments, (None, None))
@@ -493,6 +492,8 @@ class PartialObject(object):
             return []
 
         arg_count = 0
+        if self._instance is not None:
+            arg_count = 1
         keys = set()
         for key, _ in unpacked_arguments:
             if key is None:
@@ -501,13 +502,16 @@ class PartialObject(object):
                 keys.add(key)
         return [PartialSignature(s, arg_count, keys) for s in func.get_signatures()]
 
+    def py__get__(self, instance, class_value):
+        return ValueSet([PartialObject(self._actual_value, self._arguments, self._instance)])
+
     def py__call__(self, arguments):
         func = self._get_function(self._arguments.unpack())
         if func is None:
             return NO_VALUES
 
         return func.execute(
-            MergedPartialArguments(self._arguments, arguments)
+            MergedPartialArguments(self._arguments, arguments, self._instance)
         )
 
 
@@ -523,15 +527,18 @@ class PartialSignature(SignatureWrapper):
 
 
 class MergedPartialArguments(AbstractArguments):
-    def __init__(self, partial_arguments, call_arguments):
+    def __init__(self, partial_arguments, call_arguments, instance=None):
         self._partial_arguments = partial_arguments
         self._call_arguments = call_arguments
+        self._instance = instance
 
     def unpack(self, funcdef=None):
         unpacked = self._partial_arguments.unpack(funcdef)
         # Ignore this one, it's the function. It was checked before that it's
         # there.
         next(unpacked)
+        if self._instance is not None:
+            yield None, LazyKnownValue(self._instance)
         for key_lazy_value in unpacked:
             yield key_lazy_value
         for key_lazy_value in self._call_arguments.unpack(funcdef):
@@ -545,6 +552,15 @@ def functools_partial(value, arguments, callback):
     )
 
 
+def functools_partialmethod(value, arguments, callback):
+    return ValueSet(
+        # XXX last argument is a placeholder. See:
+        # https://github.com/davidhalter/jedi/pull/1522#discussion_r392474671
+        PartialObject(instance, arguments, True)
+        for instance in value.py__call__(arguments)
+    )
+
+
 @argument_clinic('first, /')
 def _return_first_param(firsts):
     return firsts
@@ -742,6 +758,7 @@ _implemented = {
     },
     'functools': {
         'partial': functools_partial,
+        'partialmethod': functools_partialmethod,
         'wraps': _functools_wraps,
     },
     '_weakref': {
diff --git a/test/completion/stdlib.py b/test/completion/stdlib.py
index 636b66fb..9de3f839 100644
--- a/test/completion/stdlib.py
+++ b/test/completion/stdlib.py
@@ -158,6 +158,46 @@ tup[0]
 #? float()
 tup[1]
 
+class X:
+    def function(self, a, b):
+        return a, b
+    a = functools.partialmethod(function, 0)
+    kw = functools.partialmethod(function, b=1.0)
+
+#? int()
+X().a('')[0]
+#? str()
+X().a('')[1]
+
+#? int()
+X.a('')[0]
+#? str()
+X.a('')[1]
+
+#? int()
+X.a(X(), '')[0]
+#? str()
+X.a(X(), '')[1]
+
+tup = X().kw(1)
+#? int()
+tup[0]
+#? float()
+tup[1]
+
+tup = X.kw(1)
+#? int()
+tup[0]
+#? float()
+tup[1]
+
+tup = X.kw(X(), 1)
+#? int()
+tup[0]
+#? float()
+tup[1]
+
+
 def my_decorator(f):
     @functools.wraps(f)
     def wrapper(*args, **kwds):
diff --git a/test/test_inference/test_signature.py b/test/test_inference/test_signature.py
index 186b5770..8fe485d4 100644
--- a/test/test_inference/test_signature.py
+++ b/test/test_inference/test_signature.py
@@ -65,6 +65,19 @@ d = functools.partial()
 '''
 
 
+partialmethod_code = '''
+import functools
+
+class X:
+    def func(self, a, b, c):
+        pass
+    a = functools.partialmethod(func)
+    b = functools.partialmethod(func, 1)
+    c = functools.partialmethod(func, 1, c=2)
+    d = functools.partialmethod()
+'''
+
+
 @pytest.mark.parametrize(
     'code, expected', [
         ('def f(a, * args, x): pass\n f(', 'f(a, *args, x)'),
@@ -82,6 +95,13 @@ d = functools.partial()
         (partial_code + 'b(', 'func(b, c)'),
         (partial_code + 'c(', 'func(b)'),
         (partial_code + 'd(', None),
+
+        (partialmethod_code + 'X().a(', 'func(a, b, c)'),
+        (partialmethod_code + 'X().b(', 'func(b, c)'),
+        (partialmethod_code + 'X().c(', 'func(b)'),
+        (partialmethod_code + 'X().d(', None),
+        (partialmethod_code + 'X.c(', 'func(b)'),
+        (partialmethod_code + 'X.d(', None),
     ]
 )
 def test_tree_signature(Script, environment, code, expected):