Damon is a census-designated place (CDP) in Brazoria County, Texas, United States.

The town is located about 20 miles (32 km) south of Rosenberg on Texas State Highway 36.

Damon sits partly atop a salt dome which was exploited for petroleum, sulphur, and limestone.

According to the United States Census Bureau, the CDP has a total area of 1.394 square miles (3.61 km2), all land.

The west part of the town sits atop Damon Mound, the surface expression of a salt diapir or dome.

Arrowheads, burial grounds, broken pottery, and stone tools found in the area are evidence of their habitation.

In ancient times, the mound's sour earth was regarded by the local native peoples as having medicinal properties.

[6] The area was first settled by Europeans in 1831 when Samuel Damon arrived from the United States.

Damon married Lorena Darst and built a home on the south side of the mound.

In 1918 a railroad line was built from Rosenberg to Damon in order to haul away the limestone and sulphur that were quarried from the mound.

The 2000 census reported 535 persons and Baptist, Catholic, Church of Christ, and Lutheran places of worship.