diff --git a/lisp/progmodes/python.el b/lisp/progmodes/python.el
index 0761aaebdcc..94297d4ea5b 100644
--- a/lisp/progmodes/python.el
+++ b/lisp/progmodes/python.el
@@ -362,6 +362,8 @@ This variant of `rx' supports common Python named REGEXPS."
   `(rx-let ((block-start       (seq symbol-start
                                     (or "def" "class" "if" "elif" "else" "try"
                                         "except" "finally" "for" "while" "with"
+                                        ;; Python 3.10+ PEP634
+                                        "match" "case"
                                         ;; Python 3.5+ PEP492
                                         (and "async" (+ space)
                                              (or "def" "for" "with")))
diff --git a/test/lisp/progmodes/python-tests.el b/test/lisp/progmodes/python-tests.el
index ee7b66610aa..a3f778bbbe9 100644
--- a/test/lisp/progmodes/python-tests.el
+++ b/test/lisp/progmodes/python-tests.el
@@ -1516,6 +1516,31 @@ this is an arbitrarily
      (should (string= (buffer-substring-no-properties (point-min) (point-max))
                       expected)))))
 
+(ert-deftest python-indent-after-match-block ()
+  "Test PEP634 match."
+  (python-tests-with-temp-buffer
+   "
+match foo:
+"
+   (should (eq (car (python-indent-context)) :no-indent))
+   (should (= (python-indent-calculate-indentation) 0))
+   (goto-char (point-max))
+   (should (eq (car (python-indent-context)) :after-block-start))
+   (should (= (python-indent-calculate-indentation) 4))))
+
+(ert-deftest python-indent-after-case-block ()
+  "Test PEP634 case."
+  (python-tests-with-temp-buffer
+   "
+match foo:
+    case 1:
+"
+   (should (eq (car (python-indent-context)) :no-indent))
+   (should (= (python-indent-calculate-indentation) 0))
+   (goto-char (point-max))
+   (should (eq (car (python-indent-context)) :after-block-start))
+   (should (= (python-indent-calculate-indentation) 8))))
+
 
 ;;; Filling