JaVale McGee led Washington with 20 points, 12 in the fourth quarter. John Wall scored 17.
The Wizards took an 88-87 lead with 2:45 to play on a pair of free throws by McGee. Holiday then hit two 3-pointers, sandwiched around a hook shot by Nikola Vucevic, to give the Sixers a 95-88 edge with 1:09 left. The fourth quarter featured nine lead changes.
Washington took a 52-47 lead into halftime after Philadelphia's Nikola Vucevic made a 3 at the buzzer.
The Wizards had a 10-point advantage late in the half, behind Wall's 13 points.