Syria is a distinctive girls' name in United States, ranking #4164 in 2008 with 38 recorded births. The name reached its all-time peak in 2004 with 41 births ranking #3618. Since 1996, the popularity has increased by 123.5%. In 2008, approximately 1 in every 49,756 girls born was named Syria. FALLING Recent data shows the name is currently falling.