The hosts had the better chances before Andros Townsend struck and had been threatening an equaliser when Spurs broke to claim their second through Roberto Soldado in the 69th minute..
Lambert said: "I didn't think there was much in that.
"The last couple of times Spurs have come here they have left pretty convincing winners. Today was a different game.
"There wasn't much in it in the first half and then we lost a goal. I think it is a cross and everyone has missed it and it went in.
"In the second half I thought we were in the ascendancy.
"I thought we looked like the team that was going to get it back.
"Sometimes you can come away from a game thinking you haven't given it a go, but I can't fault the lads for the way they went about it."
Villa's threatened second-half revival was prompted by the introduction of Christian Benteke from the bench on the hour.
The Belgian had missed the previous two games through injury and he had two good chances before Soldado killed the Villa challenge.
Lambert claimed he had never considered starting with Benteke.
He said: "Christian has only trained four days in a month. It is unfair on him to ask him to go straight in.
"He has trained with us a couple of days and a couple with Belgium.
"That wasn't enough to throw him into a game of that magnitude. It was never an option."