diff --git a/sqlparse/engine/statement_splitter.py b/sqlparse/engine/statement_splitter.py
index bc57d170..c3e637d0 100644
--- a/sqlparse/engine/statement_splitter.py
+++ b/sqlparse/engine/statement_splitter.py
@@ -150,14 +150,13 @@ def _change_splitlevel(self, ttype, value):
 
     def process(self, stream):
         """Process the stream"""
-        EOS_TTYPE = T.Whitespace, T.Comment.Single
+        EOS_TTYPE = T.Whitespace, T.Comment.Single, T.Comment.Multiline
 
         # Run over all stream tokens
         for ttype, value in stream:
             # Yield token if we finished a statement and there's no whitespaces
             # It will count newline token as a non whitespace. In this context
             # whitespace ignores newlines.
-            # why don't multi line comments also count?
             if self.consume_ws and ttype not in EOS_TTYPE:
                 yield sql.Statement(self.tokens)
 
diff --git a/tests/test_split_trailing_comments.py b/tests/test_split_trailing_comments.py
new file mode 100644
index 00000000..3fe78a53
--- /dev/null
+++ b/tests/test_split_trailing_comments.py
@@ -0,0 +1,18 @@
+import sqlparse
+
+
+def test_split_keeps_trailing_block_comment_with_statement():
+    sql = "SELECT 1; /* trailing */\nSELECT 2;"
+
+    assert sqlparse.split(sql) == [
+        "SELECT 1; /* trailing */",
+        "SELECT 2;",
+    ]
+
+
+def test_split_trailing_comments_are_consistent():
+    block = "SELECT 1; /* trailing */\nSELECT 2;"
+    line = "SELECT 1; -- trailing\nSELECT 2;"
+
+    assert sqlparse.split(block)[0] == "SELECT 1; /* trailing */"
+    assert sqlparse.split(line)[0] == "SELECT 1; -- trailing"