Nathan Elder's sixth goal of the season kept Brentford's promotion push on track at Luton.
Elder headed home from six yards after 29 minutes following good work from on-loan striker Dean Bowditch.
Luton keeper Conrad Logan saved brilliantly from Bowditch and Ryan Dickson as Brentford pressed.
Brentford were threatened by long-range efforts from Paul McVeigh and Asa Hall, before Luton had Keith Keane sent off late on for fouling Charlie MacDonald.
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