Patrick Roy’s coaching staff is complete.

The Islanders announced the hires of Ray Bennett and Bob Boughner as assistant coaches on Monday, filling out their staff after John MacLean and Tommy Albelin were let go. Assistant coach Benoit Desrosiers and goaltending coach Piero Greco were both brought back for another year.

While specific roles were not announced, Bennett, an assistant coach with the Avalanche from 2017 until being fired after the team’s playoff loss this year, ran the power play in Colorado. Boughner, who was fired midseason by the Red Wings, ran the penalty kill in Detroit.

While Albelin and MacLean both had long-standing ties to Lou Lamoriello, general manager Mathieu Darche told The Post last week that Roy was heavily involved in hiring their replacements.

Bennett, 63, had a 10-year stint with the Blues and a six-year run with the Kings before being hired in Colorado. Aside from a one-year gap between working for St. Louis and Los Angeles, he’s worked in the league every season since 1999.

Boughner, 54, is a two-time head coach with the Panthers and Sharks, failing to make the playoffs at both stops. He spent two full years with the Red Wings before being fired by Detroit the day after Christmas this season, along with coach Derek Lalonde.

While Desrosiers had a hand in the penalty kill last season, it’s assumed that the main responsibility for both assistants will be fixing up special teams units that ranked 31st on the power play and penalty kill alike last season.

The next order of business for Darche is likely hiring an AHL coach and staff after Bridgeport coach Rick Kowalsky and two assistants were fired following a disastrous season at the minor-league club.