Ticket prices were slashed for the potentially crucial game but Dennis Wise's side could not find the win that would have lifted them off the bottom.
Robbie Blake was Leeds' outstanding performer and he put a free-kick just wide while keeper Lee Camp did well to block David Healy.
QPR manager John Gregory:
"The point was no more than we deserved and I don't think our goalkeeper, Lee Camp, had a shot to save in the second half.
"When you come to Elland Road, against a Leeds side who beat Crystal Palace convincingly in their last game here, then you're up against a team which has everything going for them.
"But we've been licking our wounds for 10 days after the Southend game and we showed fantastic resilience. We believe that we can survive. We just need to show a bit more penetration up front."
Leeds: Ankergren, Armando Sa (Foxe 76), Rui Marques, Heath, Lewis, Blake (Johnson 72), Douglas, Thompson (Howson 32), Nicholls, Healy, Cresswell.
Subs Not Used: Stack, Moore.
Booked: Douglas, Foxe.
QPR: Camp, Mancienne, Cullip, Stewart, Ainsworth, Lomas, Bolder, Timoska, Rowlands, Blackstock, Cook.
Subs Not Used: Cole, Kanyuka, Furlong, Ray Jones, Smith.
Booked: Timoska, Camp, Blackstock, Cullip.
Att: 29,593
Ref: T Bates (Staffordshire).