Over the past 110 years, 7 girls and 60 742 boys have been named Damon. The name Damon ranks 16727th in the United States among the most common names for girls. For the first time more than ten times newborns were named Damon in 1974. The peak of popularity of the name Damon came in the 1970s. You can see absolute numbers and relative numbers on the chart. Indicators per 100K more accurately assess the popularity of the name.