The baby name Damya appears in baby name data for the United States from 2001 to 2021. It was most popular in 2006 with 98 babies given the name.
In the later years of this period, Damya has become less common than it once was.
| Year | Count |
|---|---|
| 2001 | 11 |
| 2002 | 5 |
| 2003 | 44 |
| 2004 | 75 |
| 2005 | 79 |
| 2006 | 98 |
| 2007 | 81 |
| 2008 | 81 |
| 2009 | 57 |
| 2010 | 90 |
| 2011 | 30 |
| 2012 | 37 |
| 2013 | 44 |
| 2014 | 49 |
| 2015 | 17 |
| 2016 | 18 |
| 2017 | 10 |
| 2019 | 5 |
| 2021 | 10 |