Only a fifth Anfield victory in 34 visits also almost doubled their league away goals tally, which now stands at seven.
"I think the whole performance was fabulous, the goals were excellent as was the way we defended," said Lambert.
"I thought we were excellent. The goals were brilliant: the second goal, with the movement and the backheel, especially.
"Benteke has been unbelievable while Andy Weimann knows where the goal is, he's a natural finisher and his enthusiasm and work ethic are second to none.
"The back three were terrific and put their bodies on the line when they had to.
"I am pretty sure Liverpool will give anyone a game here.
"It is just about trying to hold your nerve and trying to see it through, which is what we have done."