Big-spending City remain a disjointed side and draws against Aston Villa, Wigan Athletic, Fulham and struggling Birmingham, who missed a penalty and were the more dangerous side throughout, showed how much work manager Mark Hughes still has to do.
City's point moved them up to fourth place on 19, eight behind leaders Chelsea, who hammered Bolton Wanderers 4-0 on Saturday.
Liverpool, who had two players sent off in a 3-1 defeat at Fulham, and Villa, who drew 1-1 at Everton, both have 18. Birmingham climbed to 14th on 11 points.
LOWEST SCORERS
They should have taken the lead 10 minutes after halftime when Nigel de Jong handled in the box but Given came to the rescue again when he saved James McFadden's penalty.
Birmingham had Barry Ferguson sent off in stoppage time to become the ninth red card victim from the weekend's 10 league games.
