diff --git a/mdformat_myst/plugin.py b/mdformat_myst/plugin.py
index 13d796e..19391e0 100644
--- a/mdformat_myst/plugin.py
+++ b/mdformat_myst/plugin.py
@@ -85,6 +85,26 @@ def _math_block_label_renderer(node: RenderTreeNode, context: RenderContext) ->
     return f"$${node.content}$$ ({node.info})"
 
 
+def _math_block_safe_blockquote_renderer(
+    node: RenderTreeNode, context: RenderContext
+) -> str:
+    marker = "> "
+    with context.indented(len(marker)):
+        lines = []
+        for i, child in enumerate(node.children):
+            if child.type in ("math_block", "math_block_label"):
+                lines.append(child.render(context))
+            else:
+                lines.extend(child.render(context).splitlines())
+            if i < (len(node.children) - 1):
+                lines.append("")
+        if not lines:
+            return ">"
+        quoted_lines = (f"{marker}{line}" if line else ">" for line in lines)
+        quoted_str = "\n".join(quoted_lines)
+        return quoted_str
+
+
 def _render_children(node: RenderTreeNode, context: RenderContext) -> str:
     return "\n\n".join(child.render(context) for child in node.children)
 
@@ -121,6 +141,7 @@ def _escape_text(text: str, node: RenderTreeNode, context: RenderContext) -> str
 
 
 RENDERERS = {
+    "blockquote": _math_block_safe_blockquote_renderer,
     "myst_role": _role_renderer,
     "myst_line_comment": _comment_renderer,
     "myst_block_break": _blockbreak_renderer,
diff --git a/tests/data/fixtures.md b/tests/data/fixtures.md
index 5a62b17..f5899de 100644
--- a/tests/data/fixtures.md
+++ b/tests/data/fixtures.md
@@ -192,6 +192,74 @@ a=1
 $$ (eq1)
 .
 
+Blockquote with dollarmath block
+.
+> $$
+a=1
+$$
+.
+> $$
+a=1
+$$
+.
+
+Long blockquote with dollarmath block
+.
+> Some words
+>
+> Block math:
+>
+> $$
+a=1
+$$
+>
+> Some more words
+.
+> Some words
+>
+> Block math:
+>
+> $$
+a=1
+$$
+>
+> Some more words
+.
+
+Blockquote with dollarmath block labeled
+.
+> $$
+a=1
+$$ (eq1)
+.
+> $$
+a=1
+$$ (eq1)
+.
+
+Long blockquote with dollarmath block labeled
+.
+> Some words
+>
+> Block math:
+>
+> $$
+a=1
+$$ (eq1)
+>
+> Some more words
+.
+> Some words
+>
+> Block math:
+>
+> $$
+a=1
+$$ (eq1)
+>
+> Some more words
+.
+
 Frontmatter
 .
 ---