The vistors took the lead after a quarter-of-an-hour through Paul Keegan but almost immediately from the restart Asa Hall levelled matters for Blues with a good shot from the edge of the box.
Blake put Blues in front on 23minutes and the former Burnley man sealed victory five minutes from time with his second and Blues third of the night.
The result leave's Blues in fifth place in the Barclays Premiership Reserves League (North) table but whether they'll finish in that position remains to be seen as the teams below them still have games to play.
Blues: Vaesen, Cottrill (James Blake, 24), Painter, Oji, Martin Taylor, Asa Hall, Wright, Anderton (Hinks, h/t), Till, Robbie Blake, Birley. Subs: Meredith, Howell, Price.
Leeds: Ilic, McKeown, Parker, Keegan, Walton, Gray, Rothery, Woods, Morris, Smith, Jones. Subs: Madden, Stansfield, Hird, Howson, Bayly.