Index: ext/fts5/fts5.c
==================================================================
--- ext/fts5/fts5.c
+++ ext/fts5/fts5.c
@@ -2001,12 +2001,12 @@
 */
 static int fts5RenameMethod(
   sqlite3_vtab *pVtab,            /* Virtual table handle */
   const char *zName               /* New name of table */
 ){
-  int rc = SQLITE_OK;
-  return rc;
+  Fts5Table *pTab = (Fts5Table*)pVtab;
+  return sqlite3Fts5StorageRename(pTab->pStorage, zName);
 }
 
 /*
 ** The xSavepoint() method.
 **

Index: ext/fts5/fts5Int.h
==================================================================
--- ext/fts5/fts5Int.h
+++ ext/fts5/fts5Int.h
@@ -502,10 +502,11 @@
 
 typedef struct Fts5Storage Fts5Storage;
 
 int sqlite3Fts5StorageOpen(Fts5Config*, Fts5Index*, int, Fts5Storage**, char**);
 int sqlite3Fts5StorageClose(Fts5Storage *p);
+int sqlite3Fts5StorageRename(Fts5Storage*, const char *zName);
 
 int sqlite3Fts5DropAll(Fts5Config*);
 int sqlite3Fts5CreateTable(Fts5Config*, const char*, const char*, int, char **);
 
 int sqlite3Fts5StorageDelete(Fts5Storage *p, i64);

Index: ext/fts5/fts5_storage.c
==================================================================
--- ext/fts5/fts5_storage.c
+++ ext/fts5/fts5_storage.c
@@ -195,10 +195,39 @@
         pConfig->zDb, pConfig->zName
     );
   }
   return rc;
 }
+
+static void fts5StorageRenameOne(
+  Fts5Config *pConfig,            /* Current FTS5 configuration */
+  int *pRc,                       /* IN/OUT: Error code */
+  const char *zTail,              /* Tail of table name e.g. "data", "config" */
+  const char *zName               /* New name of FTS5 table */
+){
+  if( *pRc==SQLITE_OK ){
+    *pRc = fts5ExecPrintf(pConfig->db, 0, 
+        "ALTER TABLE %Q.'%q_%s' RENAME TO '%q_%s';",
+        pConfig->zDb, pConfig->zName, zTail, zName, zTail
+    );
+  }
+}
+
+int sqlite3Fts5StorageRename(Fts5Storage *pStorage, const char *zName){
+  Fts5Config *pConfig = pStorage->pConfig;
+  int rc = sqlite3Fts5StorageSync(pStorage, 1);
+
+  fts5StorageRenameOne(pConfig, &rc, "data", zName);
+  fts5StorageRenameOne(pConfig, &rc, "config", zName);
+  if( pConfig->bColumnsize ){
+    fts5StorageRenameOne(pConfig, &rc, "docsize", zName);
+  }
+  if( pConfig->eContent==FTS5_CONTENT_NORMAL ){
+    fts5StorageRenameOne(pConfig, &rc, "content", zName);
+  }
+  return rc;
+}
 
 /*
 ** Create the shadow table named zPost, with definition zDefn. Return
 ** SQLITE_OK if successful, or an SQLite error code otherwise.
 */

ADDED   ext/fts5/test/fts5alter.test
Index: ext/fts5/test/fts5alter.test
==================================================================
--- ext/fts5/test/fts5alter.test
+++ ext/fts5/test/fts5alter.test
@@ -0,0 +1,81 @@
+# 2015 Jun 10
+#
+# The author disclaims copyright to this source code.  In place of
+# a legal notice, here is a blessing:
+#
+#    May you do good and not evil.
+#    May you find forgiveness for yourself and forgive others.
+#    May you share freely, never taking more than you give.
+#
+#***********************************************************************
+#
+# The tests in this file focus on renaming FTS5 tables using the
+# "ALTER TABLE ... RENAME TO ..." command
+#
+
+source [file join [file dirname [info script]] fts5_common.tcl]
+set testprefix fts5alter
+
+
+#-------------------------------------------------------------------------
+# Test renaming regular, contentless and columnsize=0 FTS5 tables.
+#
+do_execsql_test 1.1.0 {
+  CREATE VIRTUAL TABLE "a x" USING fts5(a, x);
+  INSERT INTO "a x" VALUES('a a a', 'x x x');
+  ALTER TABLE "a x" RENAME TO "x y";
+}
+do_execsql_test 1.1.1 {
+  SELECT * FROM "x y";
+  SELECT rowid FROM "x y" WHERE "x y" MATCH 'a'
+} {{a a a} {x x x} 1}
+
+do_execsql_test 1.2.0 {
+  CREATE VIRTUAL TABLE "one/two" USING fts5(one, columnsize=0);
+  INSERT INTO "one/two"(rowid, one) VALUES(456, 'd d d');
+  ALTER TABLE "one/two" RENAME TO "three/four";
+}
+do_execsql_test 1.2.1 {
+  SELECT * FROM "three/four";
+  SELECT rowid FROM "three/four" WHERE "three/four" MATCH 'd'
+} {{d d d} 456}
+
+do_execsql_test 1.3.0 {
+  CREATE VIRTUAL TABLE t1 USING fts5(val, content='');
+  INSERT INTO t1(rowid, val) VALUES(-1, 'drop table');
+  INSERT INTO t1(rowid, val) VALUES(-2, 'drop view');
+  ALTER TABLE t1 RENAME TO t2;
+}
+do_execsql_test 1.3.1 {
+  SELECT rowid, * FROM t2;
+  SELECT rowid FROM t2 WHERE t2 MATCH 'table'
+} {-2 {} -1 {} -1}
+
+#-------------------------------------------------------------------------
+# Test renaming an FTS5 table within a transaction.
+#
+do_execsql_test 2.1 {
+  CREATE VIRTUAL TABLE zz USING fts5(a);
+  INSERT INTO zz(rowid, a) VALUES(-56, 'a b c');
+  BEGIN;
+    INSERT INTO zz(rowid, a) VALUES(-22, 'a b c');
+    ALTER TABLE zz RENAME TO yy;
+    SELECT rowid FROM yy WHERE yy MATCH 'a + b + c';
+  COMMIT;
+} {-56 -22}
+
+do_execsql_test 2.2 {
+  BEGIN;
+    ALTER TABLE yy RENAME TO ww;
+    INSERT INTO ww(rowid, a) VALUES(-11, 'a b c');
+    SELECT rowid FROM ww WHERE ww MATCH 'a + b + c';
+} {-56 -22 -11}
+
+do_execsql_test 2.3 {
+  ROLLBACK;
+  SELECT rowid FROM yy WHERE yy MATCH 'a + b + c';
+} {-56 -22}
+
+
+finish_test
+