Team President Harry Glickman said no other candidates were interviewed although team officials briefly examined a "short list" of other possibilities.
Adelman, 42, was in his sixth season as a Trail Blazer assistant coach before he was named interim coach Feb. 18 when the team fired Mike Schuler. His contract is for one year with an option for a second year.
Adelman posted a 14-21 record through the remainder of the season and guided the team into the playoffs, clinching a berth by winning the final game of the regular season. Defending champion Los Angeles Lakers swept Portland in three games of the first round of the playoffs.