The cyclist was riding westbound on James Street shortly after 2 a.m. when a Toyota Camry heading southbound on Second Avenue hit him in the intersection, according to police.
The Toyota didn't stop, but witnesses were able to give officers a description and license plate number, according to police.
Officers caught up to the car at its registered address in the 2200 block of South Main Street just as three men were getting out. According to police, the car had some front-end damage and a smashed windshield.
The 27-year-old man who had been driving the car appeared to be intoxicated and was booked into King County Jail, according to police.
Meanwhile, the bicyclist was transported to Harborview Medical Center for treatment of his injuries.