Muhammad, the 6-5 wing from Las Vegas (Nev.) Bishop Gorman, announced his decision on ESPN U.
"I just think how comfortable I was with the coach," Muhammad said about what made the decision for him. "If I could pick all three, I would. I chose to be a Bruin. So I'll be at UCLA next year.
"I just think it's a challenge, knowing how bad they were the last two years. Knowing that they're leaders in championships with 11. Knowing that Kyle Anderson is coming and Jordan Adams is coming as well. Hopefully Tony Parker will come."
He chose UCLA over national champion Kentucky and Duke.
He also considered hometown UNLV, but Muhammad dropped the Running Rebels last week.
It had long been known by those close to Muhammad's recruitment that he was heavily leaning to UCLA, in fact, verbally committed. There were some moments over the last year or so where that commitment was a bit uncertain, but sources close to situation indicated that he was essentially committed to UCLA since last fall.
Muhammad is the third commitment for UCLA in the 2013 class, adding to the class of Kyle Anderson, the 6-8 point forward from Jersey City (New Jersey) St. Anthony, and Jordan Adams, the 6-4 shooting guard from Mouth of Wilson (Virg.) Oak Hill.
The Bruins are still in the running for Tony Parker, the 6-8 center from Livonia (Georgia) Miller Grove. Parker, as of Tuesday, said he was uncertain whether he'd decide and announce in the next couple of days. "I have no clue," Parker said. "I might. I'm thinking about it."