diff --git a/CHANGES b/CHANGES
index 73b5fdbf4..33c406b71 100644
--- a/CHANGES
+++ b/CHANGES
@@ -23,6 +23,7 @@ Bugs fixed
 * #5009: latex: a label for table is vanished if table does not have a caption
 * #5048: crashed with numbered toctree
 * #2410: C, render empty argument lists for macros.
+* C++, fix lookup of full template specializations with no template arguments.
 
 Testing
 --------
diff --git a/sphinx/domains/cpp.py b/sphinx/domains/cpp.py
index f2505f881..11c400df2 100644
--- a/sphinx/domains/cpp.py
+++ b/sphinx/domains/cpp.py
@@ -3519,6 +3519,9 @@ class Symbol(object):
             # and params that are packs must in the args be the name expanded
             if len(templateParams.params) != len(templateArgs.args):
                 return True
+            # having no template params and no arguments is also a specialization
+            if len(templateParams.params) == 0:
+                return True
             for i in range(len(templateParams.params)):
                 param = templateParams.params[i]
                 arg = templateArgs.args[i]