No goals for Chelsea or QPR
Nigeria's Mikel Obi
The result ended Chelsea's 100% Premier League record.
Anton Ferdinand's refusal to shake John Terry's hand before the match following allegations of racial abuse in the corresponding fixture last season, painted the picture for a niggly match.
Chelsea started the better side and had two good penalty shouts dismissed. Then QPR improved after the break and Bobby Zamora wasted a good chance near the end.
Zamora was gifted a great one-on-one chance when he ran on to a John Mikel Obi back pass, but goalkeeper Petr Cech did brilliantly to delay Zamora and his effort was cleared off the line by Terry.
Eden Hazard then had a glorious opportunity to score, but he shot wildly over the bar.
Chelsea remain top of the table despite the draw, but they will feel they were denied two clear penalties before the break.
Referee Andre Marriner decided Ryan Nelsen was not guilty of pulling Terry to the floor from a free-kick. Then the match official waved away even stronger protests after a clumsy Shaun Wright-Phillips challenge led to Hazard going down in the box.
Chelsea could have gone ahead inside the opening four minutes, but debutant QPR ‘keeper Julio Cesar made a fine block. The Brazilian then did well to keep out a decent Fernando Torres shot.
QPR were solid, they retained possession well and saw plenty of the ball, but apart from a Zamora shot that was beaten away by Petr Cech, they barely threatened in the first period.
They stepped up the pace after the interval, were the better side for lengthy periods and created the two best chances.