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Damon is a census-designated place (CDP) in Brazoria County, Texas, United States. The population was 535 at the 2000 census.
Damon is located at 29°17′22″N 95°44′13″W / 29.28944°N 95.73694°W / 29.28944; -95.73694 (29.289519, -95.737038).
According to the United States Census Bureau, the CDP has a total area of 3.6 square kilometers (1.4 sq mi), all land.