diff --git a/gallery_dl/extractor/tiktok.py b/gallery_dl/extractor/tiktok.py
index a60277c7..e183fec4 100644
--- a/gallery_dl/extractor/tiktok.py
+++ b/gallery_dl/extractor/tiktok.py
@@ -914,19 +914,22 @@ class TiktokPaginationCursor:
 
 
 class TiktokTimeCursor(TiktokPaginationCursor):
-    def __init__(self, *, reverse=True):
+    def __init__(self, *, reverse=True, has_more_attribute="hasMore",
+                 cursor_attribute="cursor"):
         super().__init__()
         self.cursor = 0
         # If we expect the cursor to go up or down as we go to the next page.
         # True for down, False for up.
         self.reverse = reverse
+        self.has_more_key = has_more_attribute
+        self.cursor_key = cursor_attribute
 
     def current_page(self):
         return self.cursor
 
     def next_page(self, data, query_parameters):
         skip_fallback_logic = self.cursor == 0
-        new_cursor = int(data.get("cursor", 0))
+        new_cursor = int(data.get(self.cursor_key, 0))
         no_cursor = not new_cursor
         if not skip_fallback_logic:
             # If the new cursor doesn't go in the direction we expect, use the
@@ -938,7 +941,7 @@ class TiktokTimeCursor(TiktokPaginationCursor):
         elif no_cursor:
             raise exception.ExtractionError("Could not extract next cursor")
         self.cursor = new_cursor
-        return not data.get("hasMore", False)
+        return not data.get(self.has_more_key, False)
 
     def fallback_cursor(self, data):
         try:
@@ -968,6 +971,12 @@ class TiktokPopularTimeCursor(TiktokTimeCursor):
         return -50_000
 
 
+class TiktokStoryTimeCursor(TiktokTimeCursor):
+    def __init__(self):
+        super().__init__(reverse=False, has_more_attribute="HasMoreAfter",
+                         cursor_attribute="MaxCursor")
+
+
 class TiktokLegacyTimeCursor(TiktokPaginationCursor):
     def __init__(self):
         super().__init__()
@@ -1472,7 +1481,7 @@ class TiktokStoryItemListRequest(TiktokItemListRequest):
         assert query_parameters["loadBackward"] in ["true", "false"]
 
     def cursor_type(self, query_parameters):
-        return TiktokItemCursor
+        return TiktokStoryTimeCursor
 
 
 class TiktokStoryBatchItemListRequest(TiktokItemListRequest):