Sam Parkin's last-minute equaliser denied Leeds victory and ended Luton's run of four consecutive defeats.
Luton striker Parkin grabbed the late equaliser at Kenilworth Road
The visitors looked set for victory after Paul Huntington's first-half opener when he rose to head home Peter Sweeney's free-kick in the 27th minute.
Leeds were on the back foot but Jermaine Beckford then Tresor Kandol both shot off-target when well-placed.
But substitute Parkin earned the Hatters a vital point by touching home Dean Morgan's cross with seconds to go.
Luton: Brill, Goodall, Perry, Keane, Jackson, Currie (Morgan 68), Robinson, Spring, Talbot (O'Leary 83), Andrew (Parkin 75), Furlong.
Subs Not Used: Beresford, Hutchison.
Goals: Parkin 90.
Leeds: Ankergren, Richardson, Parker, Huntington, Kenton, Prutton, Johnson, Hughes, Sweeney (Westlake 90), Kandol, Beckford (Flo 86).
Subs Not Used: Heath, Carole, Sorsa.
Booked: Huntington, Ankergren.
Goals: Huntington 27.
Ref: Mike Dean (Wirral).