A tight game was decided by the Uruguayan striker but the home side dominated.
It was a tight match with the home side dominant throughout, and QPR goalkeeper Radek Cerny was on top form to give his side a chance, but Liverpool could not be broken down.
Liverpool lined up for QPR’s first visit to Anfield since February 1996 with Charlie Adam hoping to pull the strings in midfield alongside Jordan Henderson. Up front the club began with a pairing of Dirk Kuyt and Luis Suarez leading the line.
QPR took to the field with Jay Bothroyd the lone striker and Shaun Wright-Phillips deployed on the left wing. Jamie Mackie was wide on right.
The first real action of the match came in the 10th minute as Suarez planted a header straight at Radek Cerny but he really should have done better after he found himself unmarked in the center of the penalty area.
Chances were at a premium in the opening stages, but Liverpool was dominant on its home turf with QPR finding it difficult to get out of its own half.
Suarez was at the heart of Liverpool’s best moves in the opening 20 minutes, roaming around the attacking third before firing in a dangerous ball across the face of goal. Maxi Rodriguez was unable to get on the end of it.
The Uruguayan had previously had a penalty shout turned down after he was seemingly being pulled down, but he had been backing in and in all fairness it would have been a very soft penalty.
Maxi came close to opening the scoring on the stroke of the half hour mark, forcing a superb save from Cerny after he got in behind the QPR defense.
It was all Liverpool as halftime approached. Stewart Downing embarked on a fine run down the right wing before sliding Suarez in at a tight angle. He initially attempted to chip the ‘keeper, and when the rebound fell to him he blazed a shot well over.
QPR was perhaps fortunate to go in at halftime all square, but that fortune didn't last long as Suarez opened the scoring just after the break.
It wasn't a goal that required Suarez's blend of skill and speed, more a defense content with poor defending, leaving the striker unmarked from Charlie Adam's cross to head home from six yards for his first goal in eight Premier League games.
And things went from bad to worse for QPR moments later as Ferdinand was forced off with a hamstring injury following a tackle with Charlie Adam.
Liverpool was beginning to cut open the QPR defense at will, but Cerny was having a fine game in goal, tipping Maxi's effort from 12 yards onto the post before getting down well to stop a Kuyt volley minutes later.
And he was called into action again to prevent Maxi from adding to the lead, this time making himself big to deny the winger from close range.
QPR hadn't been in the game in an attacking sense, but did begin to exert some pressure as the game wore on. Joey Barton put in some dangerous crosses, one of which in particular Pepe Reina had to be alert to as he punched clear from just under his crossbar.
Craig Bellamy, fresh from the substitute's bench, almost added to the Liverpool lead with a little over five minutes to go as he whipped a free kick into the side netting.
With minutes remaining, the away side had a credible penalty appeal turned down as Faurlin chested the ball down before Martin Skrtel appeared to kick him in the arm.
Wright-Phillips almost found the back of his own net, sliding back to try and clear a cross but hitting the crossbar.
The away side continued to assault the Liverpool box, but it was to no avail as the team could not find the goal that would have earned it a point.