The defenseman had two assists in 16 games with the Senators this season. He can become an unrestricted free agent after the season.
The 36-year-old won the Stanley Cup with the Tampa Bay Lightning last season. The Lightning traded Coburn to the Senators on Dec. 27.
"In Braydon Coburn, what we do get is an experienced defenseman who has size and strength, has played in this division as we all know when he was in Philly, so he knows a lot about it," Islanders general manager Lou Lamoriello said Monday. "He has tremendous character and knows his role and accepts it, so we couldn't be more delighted than to be able to get him."
Coburn has scored 234 points (49 goals, 185 assists) in 980 regular-season games with the Atlanta Thrashers, Philadelphia Flyers, Lightning and Senators. He has 32 points (three goals, 29 assists) in 137 Stanley Cup Playoff games.
"People won't see it but what Coburn] did in the gym and the way he took care of himself, it's a lasting impression on our young guys," Senators coach D.J. Smith said Monday. "We wish [him] both nothing but the best."
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Coburn joins Sebastian Aho and Thomas Hickey on New York's defensemen depth chart. Hickey had two assists in five games while Noah Dobson was on the NHL COVID-19 protocol list last month. Coburn, Aho and Hickey each shoot left-handed.
"I think we were trying to find the best defenseman that we could to play that support role that he will play," Lamoriello said. "He was the best. If the best was a right-hander and we could have made the transaction, we could have certainly done that. But we're happy with certainly what we have."
The Islanders also acquired forwards Kyle Palmieri and Travis Zajac from the New Jersey Devils on April 7. Palmieri scored his first goal with the Islanders in a 3-2 overtime win against the New York Rangers on Sunday.
New York (27-11-4) is tied with the Washington Capitals for first place in the eight-team MassMutual East Division. Ottawa (13-25-4) is last in the seven-team Scotia North Division, 13 points behind the fourth-place Montreal Canadiens. The top four teams in each of the four divisions will qualify for the playoffs.
"We tried to proact and made some additions earlier in the trade deadline period and we're comfortable right now," Lamoriello said.
NHL.com deputy managing editor Brian Compton contributed to this report