diff --git a/src/sqlfluff/dialects/dialect_tsql.py b/src/sqlfluff/dialects/dialect_tsql.py
index 4e650aa129f..966c66119a0 100644
--- a/src/sqlfluff/dialects/dialect_tsql.py
+++ b/src/sqlfluff/dialects/dialect_tsql.py
@@ -313,9 +313,10 @@ class WhereClauseSegment(BaseSegment):
 
 @tsql_dialect.segment(replace=True)
 class CreateIndexStatementSegment(BaseSegment):
-    """A `CREATE INDEX` statement.
+    """A `CREATE INDEX` or `CREATE STATISTICS` statement.
 
     https://docs.microsoft.com/en-us/sql/t-sql/statements/create-index-transact-sql?view=sql-server-ver15
+    https://docs.microsoft.com/en-us/sql/t-sql/statements/create-statistics-transact-sql?view=sql-server-ver15
     """
 
     type = "create_index_statement"
@@ -324,7 +325,7 @@ class CreateIndexStatementSegment(BaseSegment):
         Ref("OrReplaceGrammar", optional=True),
         Sequence("UNIQUE", optional=True),
         OneOf("CLUSTERED", "NONCLUSTERED", optional=True),
-        "INDEX",
+        OneOf("INDEX", "STATISTICS"),
         Ref("IfNotExistsGrammar", optional=True),
         Ref("IndexReferenceSegment"),
         "ON",
diff --git a/test/fixtures/dialects/tsql/add_index.sql b/test/fixtures/dialects/tsql/add_index.sql
index 7e905285600..77bc14899a1 100644
--- a/test/fixtures/dialects/tsql/add_index.sql
+++ b/test/fixtures/dialects/tsql/add_index.sql
@@ -12,3 +12,9 @@ IF EXISTS(SELECT * FROM sys.indexes WHERE NAME='IX_INTER_VIMR_REPRODUCTION_NUMBE
     CREATE CLUSTERED INDEX IX_INTER_VIMR_REPRODUCTION_NUMBER
     ON dbo.VIMR_INFECTIOUS_PEOPLE(DATE_LAST_INSERTED);
 GO
+
+
+CREATE STATISTICS Stats_Population ON [Reporting].[Population] 
+([ID],[Facility],[Population])
+
+GO
diff --git a/test/fixtures/dialects/tsql/add_index.yml b/test/fixtures/dialects/tsql/add_index.yml
index e7bd7dd6cab..4986f0c1d58 100644
--- a/test/fixtures/dialects/tsql/add_index.yml
+++ b/test/fixtures/dialects/tsql/add_index.yml
@@ -3,7 +3,7 @@
 # computed by SQLFluff when running the tests. Please run
 # `python test/generate_parse_fixture_yml.py`  to generate them after adding or
 # altering SQL files.
-_hash: 2122ec7aca5f6835c66088ad5d48be7e9bda62f0ec75767628621cb82f94e0a9
+_hash: 56af05bcacbc11b6e52f53d6f419d3e67b1c3dbceb18e26d52f481c30a2e8f24
 file:
 - batch:
     statement:
@@ -166,3 +166,28 @@ file:
           - statement_terminator: ;
 - go_statement:
     keyword: GO
+- batch:
+    statement:
+      create_index_statement:
+      - keyword: CREATE
+      - keyword: STATISTICS
+      - index_reference:
+          identifier: Stats_Population
+      - keyword: 'ON'
+      - table_reference:
+        - identifier: '[Reporting]'
+        - dot: .
+        - identifier: '[Population]'
+      - bracketed:
+        - start_bracket: (
+        - index_column_definition:
+            identifier: '[ID]'
+        - comma: ','
+        - index_column_definition:
+            identifier: '[Facility]'
+        - comma: ','
+        - index_column_definition:
+            identifier: '[Population]'
+        - end_bracket: )
+- go_statement:
+    keyword: GO