Bournemouth pressed early and tested the abilities of Luke Steele as Ryan Fraser fired an effort at goal from 20 yards, and in wet conditions the keeper did well to get down to make the save.
The visitors threatened again as Matt Ritchie fired a shot from distance, which Steele had to be at his best to parry away from goal and the lurking Fraser.
After the break, Fraser should have done a lot better with his effort from just outside the penalty area, but his shot went well over the bar.
The visitors threatened late on when Kermorgant threaded a pass through to Ritchie, but he couldn't muster enough power on his effort to trouble Steele.
However, in stoppage time the Cherries did get their winner when Ian Harte's free kick was turned in by Steve Cook.