West Ham captain Kevin Nolan was glad to see his side claim an 'absolutely vital' first away triumph of the Premier League season.
The promoted Hammers took a third-minute lead against hosts QPR through Matt Jarvis' first goal for the club before Ricardo Vaz Te doubled their advantage in the 35th minute, both goals coming from far-post finishes.
QPR pulled a goal back with a stunning 57th-minute effort from Adel Taarabt just moments after he came on as a substitute, but they lost Samba Diakite to a second yellow card 15 minutes from time and the remaining 10 men could not find an equaliser.
The result leaves QPR rooted to the foot of the standings with only two points from six games, while West Ham moved into the top seven, with Tottenham and West Brom on 11 points.
Nolan told Sky Sports of the win: "It was absolutely vital. Absolutely delighted with the win today.
"They made us work for the win in the second half. It was a fantastic first-half performance, the second half I thought we dug in and we could have won it by more in the end really."
Nolan also praised his side for the way they fought to hold off QPR's attempted comeback after the break.
"We knew at some point they had to make changes, we had to be ready for that and I thought we dealt with it well," he said.
"It was a great goal (from Taarabt ) but I thought after that we responded well, we dug in, they had the man sent off which helped us, but I thought overall we were well deserving of the win.
"Tonight we proved we are tough to beat and we have quality."
Man-of-the-match Mark Noble also hailed West Ham's resilience after QPR battled for a way back and is already looking ahead to another London derby when the Hammers host Arsenal this weekend.
He said: "I think in the first half we controlled the game. We got an early goal, then got another one and controlled it from then on.
"It's a tough place to come and play here and when they scored their goal we had to dig in and fight and we've done that tonight, the lads were brilliant.
"The morale's brilliant, we've had a good start. Obviously we've got Arsenal next week so we've got to concentrate on that one now, it's going to be a tough game."