The Hammers secured their first away league win of the season thanks to a fine 2-1 victory in west London, which was kicked off after three minutes by record signing Matt Jarvis.
"We've achieved our first Barclays Premier League (away) win, which is no mean feat for a newly-promoted team," Allardyce said.
"I think the outstanding qualities we showed today both in our ability to take the game to the opposition away from home and our ability to score goals was fantastic to see.
"As the underdogs, having just been promoted, to come to QPR and take the game to them and dominate that first half was great for me to see.
"If I had to say anything, I was a little bit disappointed we didn't get more than two.
"I was concerned ultimately when they scored their goal we were going to pay the price for that, but in the end we didn't of course.
"We knew somewhere down the line the game would change with the substitutes, but we didn't expect Taarabt to score a wonderful goal.
"It was a great, great goal and obviously put their tails up but our resilience came in. Our defensive qualities came to the forefront as we have shown for most of the season.
"We eventually saw the game out and I am little disappointed we didn't finish them off, but absolutely delighted we won the game and deservedly so."