Damir is a distinctive boys' name in United States, ranking #982 in 2025 with 233 recorded births. The name reached its all-time peak in 2024 with 315 births ranking #795. Since 1996, the popularity has increased by 796.2%. In 2025, approximately 1 in every 7,331 boys born was named Damir. FALLING Recent data shows the name is currently falling.