All the shootings were in a three- to four-block area on the city's west side, Detroit police spokesman James Tate said. He added that investigators believe the suspects were on foot at the time of the shootings.
A 48-year-old woman and a 58-year-old man died in the shootings after 6 a.m., Tate said. Three men were in the hospital with non-life-threatening injuries.
Tate described one suspect as a young man wearing a hooded sweatshirt and the other as a 22-year-old man wearing a dark coat.
The woman was shot inside a vehicle in front of a day care facility on Linwood Street, Tate said. There were no children there at the time and the shooting didn't appear to be related to the facility, he said.
Two other men also were shot on Linwood, and one of them died not far from the woman, Tate said. Two of the wounded victims were shot while walking together on a nearby street.
Police recovered shell casings from a handgun.
Linwood is a busy, four-lane street that runs through blocks of old homes. The area around the shooting scene is lined with liquor stores, empty lots, a church, gas stations and abandoned buildings.