Syria is a distinctive girls' name in United States, ranking #6311 in 2011 with 21 recorded births. The name reached its all-time peak in 2004 with 41 births ranking #3618. Since 1996, the popularity has increased by 23.5%. In 2011, approximately 1 in every 83,753 girls born was named Syria. FALLING Recent data shows the name is currently falling.