Over the past 110 years, 60 742 boys and 7 girls have been named Damon. The name Damon ranks 400th in the United States among the most common names for boys. For the first time more than ten times newborns were named Damon in 1912. The peak of popularity of the name Damon came in the 1970s and 1990s. You can see absolute numbers and relative numbers on the chart. Indicators per 100K more accurately assess the popularity of the name.