The man is suspected of killing 50-year-old Cpl. David Gogian and 29-year-old Jeff Atherly as they responded to a report of a suspicious vehicle Sunday night.
Shawnee County officials say in a statement that Kansas Bureau of Investigation officers tried to negotiate with the suspect before firing tear gas into the home.
The statement says he emerged from the home carrying a gun and officers shot him. He was taken to a hospital where he died of his injuries early Monday.
It wasn't clear if the suspect fired his gun.