A late winner from Darren Dods gave Dundee United their first victory over Celtic in 10 years as they won 2-1 at Tannadice.
Barry Robson gave the Bhoys the lead on 71 minutes from the penalty spot after being tripped by Dods.
But with seven minutes remaining substitute Jon Daly headed the equaliser from Danny Swanson's corner before Dods nodded home the winner with seconds remaining to leave the visitor's a point behind their Old Firm rivals Rangers at the top of the SPL table.
United manager Levein understandably enjoyed the finish to the match telling ESPN: "We did to Celtic what they quite often do to other teams, and that's come from behind and win the game late on."
Commending Daly for his goalscoring return, Levein added: "All credit to him, I was really thrilled for him. He's had a hard time.
"We were struggling a bit with injuries but he's an important player for us and when he's fit he generally plays.
"In all honesty I didn't think we played particularly well today. I think we can do an awful lot more than that.
"The pleasing thing for me was we got three points. We feel we're good enough to beat any team in this league.
"The question mark comes over whether we can keep the consistency for the whole season."
Celtic chief Tony Mowbray insisted his side were easily the stronger team but paid the price for defensive lapses.
He said: "Never mind taking the lead, for the whole game I think we were the dominant side.
"That's the harsh realities of football. Sometimes you have to take it on the chin.
"(They had) two set-plays and if you don't defend them any team at any level can beat you.
"There was a huge gap in quality levels between the two teams and yet we didn't win the football match.
"If you take the opportunities it knocks the stuffing out of the opposition of course.
"We've got to defend set-plays and we've got to take the chances, and if you marry those together you'd win quite comfortably today."