Villa went into the game on the back of four successive Barclays Premier League defeats and at the end of a week that saw Lambert's assistants Ian Culverhouse and Gary Karsa suspended by the club.
Lambert said: "It was a really tough game. Sometimes in football matches you get big points and you get huge points - that was a huge point for us considering what's been going on. It's been a hard week.
"I thought second half we were excellent, we gave as good as we got against a really good side.
"I didn't think there was much in it. They started better than us and 15 minutes into the game we started to get a foothold. In the second half I thought (Marc) Albrighton and (Gabriel) Agbonlahor were excellent for us.
"When you look at the way the lads played and the determination there, they stepped up to the plate when questions were asked. I said to them that I'm proud of them for what they did today.
"We had to stop the bleeding and get something."
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