hailed his side for picking up a "huge point" after plenty of "knocks and kickings" over the festive period - but he did admit it should have been all three.
Lambert was thrilled with the performance of his team in the face of heavy losses to Chelsea, Tottenham and Wigan, especially in the second half where he thought they were "threatening."
He was gutted to see Danny Graham equalise right at the death but insisted it was an impressive draw, especially given the record of Swansea on their own patch.
He said: "It was a really disappointing finish but the effort, especially in the second half, was excellent.
"We were right on the ropes in the first 20 minutes or so. Swansea had some really good chances but we hung in which was great.
"We equalised at the end of the first half. It was a terrific finish from Andi. And in the second half I thought we looked really threatening on the counter-attack.
"But we should have seen it through. With 30 seconds to go you really expect to see it through.
"However, it's a good point for us. They have taken a lot of knocks and kickings but they deserve credit for what they have done today.
"We have to give the lads credit too because we have a lot of injuries. It's another big point for us. Swansea is not an easy place and get a result either. So it's a huge point for us.
"Swansea were dominant at the start. All credit for the way they played. We had to weather the storm there but full credit to the team, they did that brilliantly, then we got a really good goal at the end of the half and in the second half we looked really threatening."
Lambert revealed he said "one or two things" in the dressing room at half-time and it worked wonders as Villa came out with more urgency.
He continued: "Our first goal might well have been because goals do that. They give you confidence.
"The second half we had some decent chances ourselves to go further ahead.
"We then just regrouped at the break. We said a couple of things to the lads.
"And we came out and looked really strong. In the second half we looked really good."
Lambert reiterated his faith in Villa's young guns after the impressive draw on away soil.
He continued: "We have to build the football club as well as get results.
"We are trying to do that in the best way we can. That's what we continue to do. It's for the future of the football club.
"There are positives. I have a lot of faith in what I'm doing and I won't deviate from it. It's my belief that they will keep doing it.
"I can't fault them for their effort, even in getting beaten heavily in the last three games.
"We have kept their spirits up. I work with them every day, I know what they're like and when they're feeling high or down. You try to pick them up.
"But today, especially in the second half, I thought they were really good."
On a less positive note, Lambert spoke of his concern at the extent of Ashley Westwood's ankle injury, picked up in a nasty tangle with Michu.
Westwood will get checked out by the medical team at Bodymoor Heath later.
Asked whether it was serious, he added: "It looks it at the minute. It's his ankle. He's hobbling about.
"It will be a blow if he's out because we have too many at the moment.
"We have some lads at the training ground too. Hopefully we can get one or two of them back very soon."
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