diff --git a/CHANGES b/CHANGES
index 11b3ca5cded..620b95ea725 100644
--- a/CHANGES
+++ b/CHANGES
@@ -133,6 +133,8 @@ Bugs fixed
 * C++, properly look up ``any`` references.
 * #3624: sphinx.ext.intersphinx couldn't load inventories compressed with gzip
 * #3551: PDF information dictionary is lacking author and title data
+* #3351: intersphinx does not refers context like ``py:module``, ``py:class``
+  and so on.
 * Fail to load template file if the parent template is archived
 
 Deprecated
diff --git a/sphinx/domains/__init__.py b/sphinx/domains/__init__.py
index 43b6bac041d..4085d5e1392 100644
--- a/sphinx/domains/__init__.py
+++ b/sphinx/domains/__init__.py
@@ -308,3 +308,8 @@ def get_type_name(self, type, primary=False):
         if primary:
             return type.lname
         return _('%s %s') % (self.label, type.lname)
+
+    def get_full_qualified_name(self, node):
+        # type: (nodes.Node) -> unicode
+        """Return full qualified name for given node."""
+        return None
diff --git a/sphinx/domains/python.py b/sphinx/domains/python.py
index 7439b297b50..28ea1a08aa8 100644
--- a/sphinx/domains/python.py
+++ b/sphinx/domains/python.py
@@ -885,6 +885,16 @@ def get_objects(self):
             if type != 'module':  # modules are already handled
                 yield (refname, refname, type, docname, refname, 1)
 
+    def get_full_qualified_name(self, node):
+        # type: (nodes.Node) -> unicode
+        modname = node.get('py:module')
+        clsname = node.get('py:class')
+        target = node.get('reftarget')
+        if target is None:
+            return None
+        else:
+            return '.'.join(filter(None, [modname, clsname, target]))
+
 
 def setup(app):
     # type: (Sphinx) -> Dict[unicode, Any]
diff --git a/sphinx/ext/intersphinx.py b/sphinx/ext/intersphinx.py
index 1ef4d1d5178..d018603e2c6 100644
--- a/sphinx/ext/intersphinx.py
+++ b/sphinx/ext/intersphinx.py
@@ -292,6 +292,10 @@ def missing_reference(app, env, node, contnode):
         # until Sphinx-1.6, cmdoptions are stored as std:option
         objtypes.append('std:option')
     to_try = [(inventories.main_inventory, target)]
+    if domain:
+        full_qualified_name = env.get_domain(domain).get_full_qualified_name(node)
+        if full_qualified_name:
+            to_try.append((inventories.main_inventory, full_qualified_name))
     in_set = None
     if ':' in target:
         # first part may be the foreign doc set name
@@ -299,6 +303,10 @@ def missing_reference(app, env, node, contnode):
         if setname in inventories.named_inventory:
             in_set = setname
             to_try.append((inventories.named_inventory[setname], newtarget))
+            if domain:
+                full_qualified_name = env.get_domain(domain).get_full_qualified_name(node)
+                if full_qualified_name:
+                    to_try.append((inventories.named_inventory[setname], full_qualified_name))
     for inventory, target in to_try:
         for objtype in objtypes:
             if objtype not in inventory or target not in inventory[objtype]:
diff --git a/tests/test_domain_py.py b/tests/test_domain_py.py
index 73766e71816..eb8a7a178df 100644
--- a/tests/test_domain_py.py
+++ b/tests/test_domain_py.py
@@ -10,9 +10,12 @@
 """
 
 import pytest
+from mock import Mock
 from six import text_type
+from docutils import nodes
+
 from sphinx import addnodes
-from sphinx.domains.python import py_sig_re, _pseudo_parse_arglist
+from sphinx.domains.python import py_sig_re, _pseudo_parse_arglist, PythonDomain
 
 from util import assert_node
 
@@ -28,7 +31,6 @@ def parse(sig):
 
 
 def test_function_signatures():
-
     rv = parse('func(a=1) -> int object')
     assert text_type(rv) == u'a=1'
 
@@ -165,3 +167,31 @@ def find_obj(modname, prefix, obj_name, obj_type, searchmode=0):
             [(u'NestedParentA.NestedChildA.subchild_1', (u'roles', u'method'))])
     assert (find_obj(None, u'NestedParentA.NestedChildA', u'subchild_1', u'meth') ==
             [(u'NestedParentA.NestedChildA.subchild_1', (u'roles', u'method'))])
+
+
+def test_get_full_qualified_name():
+    env = Mock(domaindata={})
+    domain = PythonDomain(env)
+
+    # non-python references
+    node = nodes.reference()
+    assert domain.get_full_qualified_name(node) is None
+
+    # simple reference
+    node = nodes.reference(reftarget='func')
+    assert domain.get_full_qualified_name(node) == 'func'
+
+    # with py:module context
+    kwargs = {'py:module': 'module1'}
+    node = nodes.reference(reftarget='func', **kwargs)
+    assert domain.get_full_qualified_name(node) == 'module1.func'
+
+    # with py:class context
+    kwargs = {'py:class': 'Class'}
+    node = nodes.reference(reftarget='func', **kwargs)
+    assert domain.get_full_qualified_name(node) == 'Class.func'
+
+    # with both py:module and py:class context
+    kwargs = {'py:module': 'module1', 'py:class': 'Class'}
+    node = nodes.reference(reftarget='func', **kwargs)
+    assert domain.get_full_qualified_name(node) == 'module1.Class.func'
diff --git a/tests/test_ext_intersphinx.py b/tests/test_ext_intersphinx.py
index 86e56fd47a8..33f5ceae2c7 100644
--- a/tests/test_ext_intersphinx.py
+++ b/tests/test_ext_intersphinx.py
@@ -145,6 +145,18 @@ def reference_check(*args, **kwds):
     assert rn is None
     assert contnode[0].astext() == 'py3k:unknown'
 
+    # no context data
+    kwargs = {}
+    node, contnode = fake_node('py', 'func', 'func', 'func()', **kwargs)
+    rn = missing_reference(app, app.env, node, contnode)
+    assert rn is None
+
+    # context data (like py:module) help to search objects
+    kwargs = {'py:module': 'module1'}
+    node, contnode = fake_node('py', 'func', 'func', 'func()', **kwargs)
+    rn = missing_reference(app, app.env, node, contnode)
+    assert rn[0].astext() == 'func()'
+
     # check relative paths
     rn = reference_check('py', 'mod', 'py3krel:module1', 'foo')
     assert rn['refuri'] == 'py3k/foo.html#module-module1'