At 13:45 of the third period, Bonk streaked down the right side and snapped a quick wrist shot from the faceoff circle that deflected off defenseman Glen Wesley and past helpless goaltender Kevin Weekes.
Bonk's third goal of the season came 1:45 after Rod Brind'Amour put Carolina ahead 4-3 with his ninth goal.
The Hurricanes, who have earned a point in each of the last 11 contests (5
Lalime stopped a season-high 37 shots and made several key saves late in the third period and in overtime.
Weekes, turned aside 32 shots but gave up four goals for the first time this season.
Erik Cole halved Carolina's deficit with 1:48 remaining in the second period when he roofed a shot past Lalime on a shorthanded breakaway after defenseman Chris Phillips fanned on a pass at his own blue line.
Ottawa, which is unbeaten in the last five meetings with Carolina (4