Goalkeeper praises support from fans...
Steven Gerrard rallied his side with a special second-half brace after the Three Lions went behind to a Phil Jagielka own-goal.
And goalkeeper Hart admitted the side let out a lot of frustration after captain Gerrard's double.
"It means the world [winning the game], I think Stevie's celebration, and the boys' celebration, shows that. We were just as frustrted as anyone in the stadium and they [Hungary] came here to do a job," he said.
"It was a friendly but they [Hungary] treated it with an awful lot of respect and they came to try and get a result and they almost did it."
It was anticipated that England would receive a hostile reception from supporters inside Wembley after the Three Lions limp exploits in South Africa, but booing from the home crowd was minimal.
Hart said of the response: "I thought it was very fair. There was a lot of poeple in there and we're very grateful for that because we could well have turned up to an empty stadium.
"But that shows how good England fans are, they turned out in their numbers. Some voiced their opinion, like I say, fair enough. Some got behind the team and towards the end Stevie lit it up, everyone was happy."
Asked whether the victory was a step in the right direction ahead of Euro 2012 qualification, Hart said: "It's a tiny step, these games we should be winning. We're happy we won it, but like I said before, we went to the World Cup and teams came out and set their stall out against us and it was very difficult, it was hard to break teams down and get a goal."
The match brought some controversy as Hungary's opener, a Jagielka own-goal, did not appear to conclusively cross the line.
Asked owhether he thought the ball had crossed the line, Hart said: "Not as far as I'm concerned although I didn't really see the replay."