Lambert believes that his side deserved the point and hopes to build on that performance.
"I thought we were well worthy of it, to be perfectly honest. We came here, a really difficult place to play with the crowd right on Newcastle's side," said Lambert.
"The young lads were excellent throughout the game. It took a wonder-goal to pin us back and we also had really good chances to win the game.
"But I was delighted with the way they played, they were very, very good."
Villa moved out of the relegation zone following the draw.