Lt. Robert McDonald said late Monday that the state coroner identified the dead man as 48-year-old Rex Michael Sherwood of Minnesota. A cause of death was not released.
Authorities say Sherwood had a rifle and opened fire on state and Jicarilla tribal police officers on Sunday.
Police say that just days before, he was pulled over and fired between 30 and 40 rounds at officers before escaping.
Police say Sherwood's license plate and registration are from New Hampshire.