York City had Scott Kerr sent off and Luton boss Gary Brabin was sent to the stands for a touch-line scuffle in an ill-tempered clash.
York lost Daniel Parslow to injury early before Luton's Amari Morgan-Smith forced a good save from Michael Ingham.
Jamie Reed controlled Peter Till's pass to score from the edge of the area a minute before Kerr received a second yellow card for a foul on Morgan-Smith.
Luton's Jake Howells came close in the last 10 minutes with his blocked shot.
York: Ingham, Darville, Chris Smith, Parslow (Carruthers 21), Meredith, Jonathan Smith, Kerr, Barrett (Till 62), Reed, Constantine (Mackin 73), Chambers.
Subs Not Used: Rankine, Boucaud.
Sent Off: Kerr (67).
Booked: Chris Smith, Kerr, Jonathan Smith, Barrett, Carruthers.
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