Phoenix police say 27-year-old Tawon Woodruff was taken into custody Monday at a motel.
He was booked into jail on suspicion of second-degree murder and misconduct involving weapons.
Woodruff didn't have a lawyer at his initial court appearance Tuesday.
He's suspected of shooting 30-year-old Kenneth Kinard on Sunday night.
Police say the shooting stemmed from an ongoing dispute between the two men, who have a history of bad blood between them.
They say the two later began arguing again and the confrontation became physical and Kinard was shot.
Kinard was taken to a hospital, where he died.
Police say the shooter fled the scene but was later identified and located at a motel.
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