diff --git a/markdownify/__init__.py b/markdownify/__init__.py
index ffde006..5bd492e 100644
--- a/markdownify/__init__.py
+++ b/markdownify/__init__.py
@@ -240,6 +240,12 @@ class MarkdownConverter(object):
 
     convert_em = abstract_inline_conversion(lambda self: self.options['strong_em_symbol'])
 
+    def convert_figcaption(self, el, text, convert_as_inline):
+        return "<figcaption>%s</figcaption>" % text
+
+    def convert_figure(self, el, text, convert_as_inline):
+        return "<figure>%s</figure>" % text
+
     convert_kbd = convert_code
 
     def convert_hn(self, n, el, text, convert_as_inline):
diff --git a/tests/test_conversions.py b/tests/test_conversions.py
index 86d8b5d..8afd589 100644
--- a/tests/test_conversions.py
+++ b/tests/test_conversions.py
@@ -39,6 +39,10 @@ def test_a_no_autolinks():
     assert md('<a href="https://google.com">https://google.com</a>', autolinks=False) == '[https://google.com](https://google.com)'
 
 
+def test_a_containing_images():
+    assert md('<a href="#"><img src="/path/to/img.jpg"></a>') == '[![](/path/to/img.jpg)](#)'
+
+
 def test_b():
     assert md('<b>Hello</b>') == '**Hello**'
 
@@ -84,6 +88,10 @@ def test_em():
     inline_tests('em', '*')
 
 
+def test_figure():
+    assert md('<figure><img src="#"><figcaption>A</figcaption></figure>') == '<figure>![](#)<figcaption>A</figcaption></figure>'
+
+
 def test_h1():
     assert md('<h1>Hello</h1>') == 'Hello\n=====\n\n'