Damire is a distinctive boys' name in United States, ranking #8971 in 2010 with 8 recorded births. The name reached its all-time peak in 2006 with 9 births ranking #8134. Since 1996, the popularity has increased by 60.0%. In 2010, approximately 1 in every 239,802 boys born was named Damire. RISING Recent data shows the name is currently rising.