diff --git a/rich/console.py b/rich/console.py
index 2141686d..9354a7ca 100644
--- a/rich/console.py
+++ b/rich/console.py
@@ -364,7 +364,7 @@ class Console:
 
         self._lock = threading.RLock()
         self._log_render = LogRender(
-            show_time=log_time, show_path=log_path, time_format=log_time_format
+            show_time=log_time, show_path=log_path, time_format=log_time_format,
         )
         self.highlighter: HighlighterType = highlighter or _null_highlighter
         self.safe_box = safe_box
diff --git a/rich/logging.py b/rich/logging.py
index f7f27791..ed88e2f0 100644
--- a/rich/logging.py
+++ b/rich/logging.py
@@ -48,6 +48,8 @@ class RichHandler(Handler):
         level: int = logging.NOTSET,
         console: Console = None,
         *,
+        show_time: bool = True,
+        show_level: bool = True,
         show_path: bool = True,
         enable_link_path: bool = True,
         highlighter: Highlighter = None,
@@ -56,7 +58,9 @@ class RichHandler(Handler):
         super().__init__(level=level)
         self.console = console or get_console()
         self.highlighter = highlighter or self.HIGHLIGHTER_CLASS()
-        self._log_render = LogRender(show_level=True, show_path=show_path)
+        self._log_render = LogRender(
+            show_time=show_time, show_level=show_level, show_path=show_path
+        )
         self.enable_link_path = enable_link_path
         self.markup = markup