Villa boss Lambert "couldn't believe" Helenius was denied a penalty
And Defoe, who has scored six goals in his three first-team starts this season and is now Tottenham's fifth highest goalscorer in history, relished the clever balls being played in behind the defence by Lamela.
Villa goalkeeper Jed Steer, making his second start of the season after a summer move from Norwich, kept his side in the game with a number of fine saves.
But he could do nothing about Defoe's opener at the end of the first half as the striker deftly headed home Holtby's cute clip over the defence.
Following Helenius's failure to win an early second-half penalty, Paulinho doubled Tottenham's lead when he lost his marker and poked in Holtby's corner at the near post.
Villa winger Aleksandar Tonev forced Brad Friedel into a save with a stinging 25-yard shot but Tottenham completed their convincing win as the hosts tired.
First Chadli latched on to a loose pass and rifled in at the near post before Defoe skipped around Steer to tap in his second of the night.
Aston Villa manager Paul Lambert:
On Nicklas Helenius getting his shorts pulled down: "That was a big moment. It thought it was a pen. I don't think anybody could believe it. It was a strange decision.
"I didn't think there were four goals in that. We had a lot of players out injured and they were too much for us. But I couldn't fault the lads for effort.
"We gave it a go in the second half and their second goal was a really poor goal from our point of view.
"There are a couple of plus points from individual performances. Nathan Baker is coming back after injury. Marc Albrighton was excellent."
Tottenham manager Andre Villas-Boas:
On the Helenius penalty appeal: "It was a difficult decision for the referee. I can understand why Paul would not be happy with that decision.
"Most likely in this situation there is no advantage to be gained and the penalty has to be whistled. Probably we got away with it.
"We've shown a great team spirit this year. The players are all buzzing for opportunities like this so most of them really performed tonight.
"The best thing about this evening is that the players who came in responded well and respected the competition."
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