Syria is a distinctive girls' name in United States, ranking #6421 in 2014 with 20 recorded births. The name reached its all-time peak in 2004 with 41 births ranking #3618. Since 1996, the popularity has increased by 17.6%. In 2014, approximately 1 in every 89,297 girls born was named Syria. FALLING Recent data shows the name is currently falling.