[5] State Representative David Simpson, a Republican from Longview, served from 1993 to 1998 as the mayor of Avinger.

Texas State Highway 49 passes through the town center, leading northwest 9 miles (14 km) to Hughes Springs and southeast 16 miles (26 km) to Jefferson.

Texas State Highway 155 crosses Highway 49 southeast of the town center and leads northeast 14 miles (23 km) to Linden, the Cass County seat, and southwest 27 miles (43 km) to Gilmer.

[4] As of the 2020 United States census, there were 371 people, 123 households, and 64 families residing in the town.

At the publication of the 2000 United States census, there were 464 people, 203 households, and 132 families residing in the town.