Thaddeus Young scored 20 points and Spencer Hawes had 15 for the Sixers.
Greg Monroe missed a tip with less than a minute left that came back to haunt Detroit. Holiday sank a 19-footer for a 100-95 lead and the Sixers stretched the lead from the free-throw line.
Monroe and Brandon Knight had 22 points apiece. Rodney Stuckey scored 19 for Detroit, and Tayshaun Prince finished with 16.