In 13 National Basketball Association contests, he averaged three points.
Bird was a second round pick by the team a year ago.
Celtics president Danny Ainge declined to comment to multiple outlets this morning, though the team released a statement.
According to the Boston Globe, Boston police officer Stephen McNulty, a spokesman for the department, did not have any information about the arrest early Saturday, but was awaiting a further report.
Bird, who is expected to appear in Brighton District Court on Monday, allegedly assaulted, strangled, and kidnapped somebody, according to Boston police, via The Boston Globe's Adam Himmelsbach.
Jabari Bird, 24, will be charged with assault, battery, strangulation and kidnapping, police say.
He appeared in 13 regular-season games for the Celtics last season, averaging 3.0 points per game.