Bisbee is a city in and the county seat of Cochise County in southeastern Arizona, United States. It is 92 miles southeast of Tucson and 11 mil…Bisbee is a city in and the county seat of Cochise County in southeastern Arizona, United States. It is 92 miles southeast of Tucson and 11 miles north of the Mexican border. According to the 2020 census, the population of the town was 4,923, down from 5,575 in the 2010 census.