Police say Reeves was the driver of a car involved in the shooting that left Patrolman Chad Spicer dead.
Reeves was with his mother and a pastor when he arrived at the Probation and Parole Office. He surrendered without incident.
He was charged with Disregarding a Police Officer's Signal, Resisting Arrest, and two counts of Violation of Probation.
The shooting happened Tuesday night.
Officers responded to a report of shots fired at a fast-food restaurant and chased a vehicle matching the description of the suspect vehicle until the suspects got out and fled on foot.
Police say Spicer was shot before he could get out of the cruiser and Cpl. Shawn Brittingham received a nonlethal injury to the neck as he got out.
Delaware State Police have charged Derrick J. Powell, 22, of Cumberland, Maryland with Murder 1st degree, Burglary 2nd degree, Reckless Endangering 1st degree, and Resisting Arrest.
Police believe Powell is the person who fired the shots.
Officer Spicer is survived by his parents Norman and Ruth Ann Spicer of Georgetown, and a three year old daughter, Aubrey.
A trust fund has been established for Spicer's daughter and contributions can be directed to:
Aubrey Spicer Trust
c/o Norman E. Spicer
Wilmington Trust Bank
139 S. State Street
Dover, DE 19901
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