The Premier League champions have to overcome another big deficit if they are to retain their crown, but the England international is adamant that they will succeed
The deficit emerged following a defeat by Sunderland courtesy of a goal from former midfielder Adam Johnson and Chicharito's late winner against Newcastle.
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City managed to overhaul an eight-point gap set by their neighbours late last season to win their first league title since 1968.
Chelsea are also within four points of Roberto Mancini's men with a game in hand, but Hart is only looking upwards - and more importantly - at regaining the title.
He told reporters: "We’ve had leads, United have had the lead — it’s to-ing and fro-ing at the moment.
"We’re a team of winners, it’s hard and it hurts but we’ve got to move on. It is hard to lead and it is hard to chase.
"We’ve clawed points back before — we proved it at the end of last season. We’ve just got to believe."