Ian Moore grabbed a second-half double as Leeds secured a spot in the third round of the Carling Cup at the expense of League Two side Barnet.
An Elland Road crowd of just 7,220 saw Robbie Blake fire Leeds ahead with a sweet 18-yard shot after a mistake by veteran defender Paul Warhurst.
Moore grabbed his first Leeds goal when he headed in from two yards and he made it 3-0 with a fierce right-foot strike.
Despite being outplayed Barnet pulled a goal back when Magno Vieira nodded in.
Leeds: Sullivan, Kelly, Foxe, Kilgallon, Crainey, Stone (Howson 76), Nicholls (Derry 65), Douglas, Lewis, Blake, Horsfield (Moore 43).
Subs Not Used: Westlake, Carole.
Goals: Blake 7, Moore 55, 74.
Barnet: Flitney, Devera, Warhurst, Yakubu (Hessenthaler 75), Nicolau, Puncheon, Sinclair, Bailey, Graham, Grazioli (Kandol 45), Hatch (Vieira 45).
Subs Not Used: Harrison, King. Booked: Puncheon. Goals: Vieira 78.
Ref: D Drysdale (Lincolnshire).