Jermaine Beckford scored just before half time for the visitors and Danny Pugh secured the three points for Martin Hodges side with a second on 78 minutes.
Blues: Vaesen, Bruce, Sadler, Oji, Painter, Price, Birley, Kilkenny, Forssell, Allen, Motteram. Subs: Legzdins, Cottrill, Hojsted, McPike, Howland
Leeds: Bennett, Richardson, Harding, Gray, Kilgallon, Walton, Griffiths, Bakke, Beckford, Graham, Pugh. Subs: Howson, Wilberforce, Bayly, Hird, Parker.