Syria is a distinctive girls' name in United States, ranking #5991 in 2013 with 22 recorded births. The name reached its all-time peak in 2004 with 41 births ranking #3618. Since 1996, the popularity has increased by 29.4%. In 2013, approximately 1 in every 79,746 girls born was named Syria. FALLING Recent data shows the name is currently falling.