Visiting City enjoyed the large majority of the possession, but were unable to find a way past Ben Foster in the Baggies goal.
West Brom's best chance of the match came 15 minutes after the restart, when Jerome Thomas crossed for Shane Long at the back post. However, the Republic of Ireland international's header went inches wide of Joe Hart's upright.
Balotelli had two chances to give City the lead shortly after, but one effort struck the bar while the other was disallowed for offside.
City substitute Edin Dzeko went close to snatching all three points in stoppage time but his close-range headed effort dropped wide of goal.