Michael Jordan & Michael Phelps -- Battle for Golf Supremacy

They've each made a SOLID case to be considered the greatest athlete of all time ... and this weekend, Michael Jordan and Michael Phelps finally battled it out ... on the golf course.

Mike and Mike grabbed their clubs and hit the links in Vegas for the 12th Annual Michael Jordan Celebrity Invitational at Shadow Creek in North Las Vegas.

So, which Mike emerged victorious?

PHELPS ... by a stroke!!

The Olympic swimmer shot a 72 ... while Jordan shot a 73.

In the meantime, another celebrity power game was underway in L.A. -- Justin Timberlake vs. Kiefer Sutherland.

No word on who won that matchup. Sorry.