The 76ers, whose 34 victories last season left them 20 games out of first place in the Atlantic Division, have won their first two outings this year. Washington slipped to 0-2.
Philadelphia had only a one-point lead with 5:43 to go, but rookie Michael Carter-Williams hit a jumper to kick off the 76ers' key run.
Young also hit three straight baskets that maintained the Philadelphia advantage during the final minutes and wound up with 29 points, hitting 14-of-20 from the field.
Carter-Williams produced 22 points to lead the 76ers to a victory over Miami in his NBA debut Wednesday.
John Wall scored 26 for the Wizards.
This is the first time in six years Philadelphia has opened a season with two straight wins.