Zach Smith scored for the Senators with 13 seconds left in the middle period and New York tied it on Matt Martin's goal 5:27 into the third.
The Islanders stopped a two-game skid while the Senators have lost five in a row. It was Ottawa's first appearance at home following a six-game road trip.
Evgeni Nabokov made 23 saves for the Islanders. Anderson stopped 30 shots.
Members of Congress to keep receiving porn magazine
Justin Bieber crashes Drake Bell's album release party