[4] The city is named for Branch Tanner Archer, a commissioner for the Republic of Texas.

The climate in this area is characterized as very hot, with humid summers and generally mild to cool winters.

[9] As of the 2020 United States census, there were 1,601 people, 717 households, and 340 families residing in the city.

Kelvin Green was elected mayor of Archer City in 2014 at the age of 18.

[12] Eight miles (12.8 km) west-southwest of the city lies a 2-mile (3.2 km) antenna, the Lake Kickapoo Field Station, operated by the 20th Space Control Squadron, and part of the Air Force Space Surveillance System, used for observing objects passing over the United States.