The officers from Brookhaven, less than 100 km south of Jackson, had gone to a house to respond to a report that shots had been fired, Mississippi Department of Public Safety spokesman Warren Strain said in an email.
It was not immediately clear what led to the exchange of gunfire between the officers and the suspect.
The 25-year-old suspect, Marquis Aaron Flowers, who lives near the house where the shooting took place, was wounded in the gunfight and later taken to a Jackson hospital.
Flowers’ medical condition was not immediately known and it was not clear if he had an attorney. An investigation into the shooting is ongoing.
The Brookhaven police chief did not immediately respond to a request for comment.
Mississippi Governor Phil Bryant on Twitter called on people to pray for “the family and loved ones of these fallen heroes.”