Syria is a distinctive girls' name in United States, ranking #6103 in 2002 with 19 recorded births. The name reached its all-time peak in 2004 with 41 births ranking #3618. Since 1996, the popularity has increased by 11.8%. In 2002, approximately 1 in every 94,569 girls born was named Syria. FALLING Recent data shows the name is currently falling.