The manager was struck by the "extraordinary" backing from Villa's crowd during Saturday's 1-1 draw with Fulham - a result which took them three points clear of third-bottom Wigan.
And Lambert reckons the fans will deserve a share of the credit if another season of Premier League football is secured in the remaining five games.
He told the club website: "That we have remained so vibrant and assertive into the second half of the season - and now into the latter stages - is in no small measure down to the fans.
"You can always judge a game and a performance by the reactions and involvement of the crowd and the synergy between fans and the team has become a defining feature of this season.
"There's a bond there which has only grown closer and intimate over the course of a campaign in which there is still important business to do and achieve before we can look too far forward into the future.
"There is a long way to go for all of us and the focus has to remain on the next game.
"We want to keep building on the foundations we've now laid down. Everything is in our own hands and we've enhanced our position over recent weeks. The fans have been fantastic, right behind us the whole way.
"The support against Fulham was extraordinary. They have been right behind us from day one. They have had some down times over the Christmas period but they kept with it, which was fantastic for us.
"We're playing well and the mindset and mood at the club is really positive. The point against Fulham keeps the momentum there. It keeps us going."