It happened Tuesday about 4 p.m. in Woodside in Kent County. The troopers were attempting to execute a search warrant.
The driver and the passenger in the suspects' vehicle were taken to Kent General Hospital with gunshot wounds to the face and arms. Police said their injuries were not life-threatening.
The two troopers were treated and released at Milford Memorial Hospital.
State police there were active arrest warrants for the two suspects.