Authorities have reportedly identified a suspect wanted in connection with an early-morning shooting that left one Minnesota lawmaker and her husband dead, and a second lawmaker and his wife injured.

Police on Sunday evening captured the man suspected of killing the top Democrat in the Minnesota House and her husband and wounding a Democratic state senator and his wife early Saturday morning.

The suspect arrived at home of State Senator John A. Hoffman in Champlin, Minn., in a black SUV made to look like a police vehicle, with what looked like emergency lights, according to John H. Thomps...