The Villa boss had seen his side slip to within a point of the relegation places over Christmas following successive defeats against Chelsea, Tottenham and Wigan, with 15 goals conceded and none scored.
However, they finally stopped the rot with a hard earned 2-2 draw at the Liberty Stadium on New Year's Day as goals from Andreas Weimann and a Christian Benteke penalty cancelled out Wayne Routledge's early strike, before Danny Graham scored a last-gasp equaliser for the Swans.
Lambert insists the point will be massive in terms of restoring some confidence in his players while he continued to back his policy of going with younger players for the long-term good of the club.
He said: "I don't think it's two points dropped, I think it's a huge point for the football club. Today showed me that these players are mentally very strong. A lot of teams go away from here with nothing."
"We're not miles off mid-table," added Lambert. "We've got a really young side but for the future of the club it's the right thing that we're doing.
"We've got to build a club as well as win football matches and I'll keep faith in what we're doing.
"The players stepped up to the plate [against Swansea] and they were excellent. These players can keep us up."