diff --git a/Lib/test/test_xml_etree.py b/Lib/test/test_xml_etree.py
index ecb910f..61416ba 100644
--- a/Lib/test/test_xml_etree.py
+++ b/Lib/test/test_xml_etree.py
@@ -2160,6 +2160,21 @@
         mye = MyElement('joe')
         self.assertEqual(mye.newmethod(), 'joe')
 
+    def test_Element_subclass_find(self):
+        class MyElement(ET.Element):
+            pass
+
+        e = ET.Element('foo')
+        e.text = 'text'
+        sub = MyElement('bar')
+        sub.text = 'subtext'
+        e.append(sub)
+        self.assertEqual(e.findtext('bar'), 'subtext')
+        self.assertEqual(e.find('bar').tag, 'bar')
+        found = list(e.findall('bar'))
+        self.assertEqual(len(found), 1, found)
+        self.assertEqual(found[0].tag, 'bar')
+
 
 class ElementFindTest(unittest.TestCase):
     def test_find_simple(self):
diff --git a/Misc/NEWS.d/next/Library/2018-10-09-14-42-16.bpo-34941.1Q5QKv.rst b/Misc/NEWS.d/next/Library/2018-10-09-14-42-16.bpo-34941.1Q5QKv.rst
new file mode 100644
index 0000000..4023724
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2018-10-09-14-42-16.bpo-34941.1Q5QKv.rst
@@ -0,0 +1,3 @@
+Methods ``find()``, ``findtext()`` and ``findall()`` of the ``Element``
+class in the :mod:`xml.etree.ElementTree` module are now able to find
+children which are instances of ``Element`` subclasses.
diff --git a/Modules/_elementtree.c b/Modules/_elementtree.c
index bd7702e..1c72c65 100644
--- a/Modules/_elementtree.c
+++ b/Modules/_elementtree.c
@@ -204,6 +204,8 @@
 
 
 #define Element_CheckExact(op) (Py_TYPE(op) == &Element_Type)
+#define Element_Check(op) PyObject_TypeCheck(op, &Element_Type)
+
 
 /* -------------------------------------------------------------------- */
 /* Element constructors and destructor */
@@ -1132,7 +1134,7 @@
     for (i = 0; i < PySequence_Fast_GET_SIZE(seq); i++) {
         PyObject* element = PySequence_Fast_GET_ITEM(seq, i);
         Py_INCREF(element);
-        if (!PyObject_TypeCheck(element, (PyTypeObject *)&Element_Type)) {
+        if (!Element_Check(element)) {
             PyErr_Format(
                 PyExc_TypeError,
                 "expected an Element, not \"%.200s\"",
@@ -1184,7 +1186,7 @@
     for (i = 0; i < self->extra->length; i++) {
         PyObject* item = self->extra->children[i];
         int rc;
-        if (!Element_CheckExact(item))
+        if (!Element_Check(item))
             continue;
         Py_INCREF(item);
         rc = PyObject_RichCompareBool(((ElementObject*)item)->tag, path, Py_EQ);
@@ -1229,14 +1231,14 @@
     }
 
     for (i = 0; i < self->extra->length; i++) {
-        ElementObject* item = (ElementObject*) self->extra->children[i];
+        PyObject *item = self->extra->children[i];
         int rc;
-        if (!Element_CheckExact(item))
+        if (!Element_Check(item))
             continue;
         Py_INCREF(item);
-        rc = PyObject_RichCompareBool(item->tag, path, Py_EQ);
+        rc = PyObject_RichCompareBool(((ElementObject*)item)->tag, path, Py_EQ);
         if (rc > 0) {
-            PyObject* text = element_get_text(item);
+            PyObject* text = element_get_text((ElementObject*)item);
             if (text == Py_None) {
                 Py_DECREF(item);
                 return PyUnicode_New(0, 0);
@@ -1269,13 +1271,12 @@
 {
     Py_ssize_t i;
     PyObject* out;
-    PyObject* tag = path;
     elementtreestate *st = ET_STATE_GLOBAL;
 
-    if (checkpath(tag) || namespaces != Py_None) {
+    if (checkpath(path) || namespaces != Py_None) {
         _Py_IDENTIFIER(findall);
         return _PyObject_CallMethodIdObjArgs(
-            st->elementpath_obj, &PyId_findall, self, tag, namespaces, NULL
+            st->elementpath_obj, &PyId_findall, self, path, namespaces, NULL
             );
     }
 
@@ -1289,10 +1290,10 @@
     for (i = 0; i < self->extra->length; i++) {
         PyObject* item = self->extra->children[i];
         int rc;
-        if (!Element_CheckExact(item))
+        if (!Element_Check(item))
             continue;
         Py_INCREF(item);
-        rc = PyObject_RichCompareBool(((ElementObject*)item)->tag, tag, Py_EQ);
+        rc = PyObject_RichCompareBool(((ElementObject*)item)->tag, path, Py_EQ);
         if (rc != 0 && (rc < 0 || PyList_Append(out, item) < 0)) {
             Py_DECREF(item);
             Py_DECREF(out);
@@ -2173,7 +2174,7 @@
                 continue;
             }
 
-            if (!PyObject_TypeCheck(extra->children[child_index], &Element_Type)) {
+            if (!Element_Check(extra->children[child_index])) {
                 PyErr_Format(PyExc_AttributeError,
                              "'%.100s' object has no attribute 'iter'",
                              Py_TYPE(extra->children[child_index])->tp_name);