Police spokesman Officer David Pubins says the allegation involves an incident that took place on Jan. 13.
Pubins says police are interviewing those involved and processing any physical evidence to determine if criminal charges are appropriate. More details weren't available.
Team officials did not immediately return phone messages seeking comment Tuesday. It wasn't clear if Beasley had legal representation.
Beasley was Phoenix's biggest offseason acquisition in 2012 after signing a three-year, $18 million contract. He was the No. 2 overall pick of the 2008 draft.
Beasley has been in trouble before. He was cited earlier this year on suspicion of speeding, driving on a suspended license and driving without a license plate or registration.
More Sports Headlines
Big humpy run forecast by experts Seahawks' Chancellor reportedly seeking more money, may hold out M's trade Ackley to Yankees in 3-player deal 3:56 p.m. UW coach Petersen not looking forward to Boise return Jetsí Richardson facing charges for resisting arrest 6:12 p.m. Bills place Williams on active/not-football injury list 6:02 p.m. Brady lawsuit transferred from Minnesota to New York court 6:02 p.m. Bills coach Kromer pleads not guilty to battery 6:02 p.m.
Our new comment system is not supported in IE 7. Please upgrade your browser here.