The drama unfolded at about 4:15 a.m. when police got a call from a witness who saw a man and woman stripping a car, said Cindi West of the King County Sheriff's Office.
When deputies arrived, the pair took off and deputies pursued them down the Maple Valley Highway.
During the chase, the suspects' car went over a short wall and wound up in the parking lot of an apartment building just east of Interstate 405 in Renton.
The man, who was driving, jumped out of the car as it headed toward the building. The woman also tried to bail out of the car just before it crashed into the building and was injured. She was immediately taken into custody.
Meanwhile, the man fled on foot and jumped into the nearby Cedar River, where he was surrounded by deputies. He surrendered and was placed under arrest.
West said the car hit the apartment building, smashing into a room used for storage. No apartment units were damaged.
She said the suspects will be booked into jail for investigation of felony eluding. They also may face other charges, depending on what investigators find in the car.