Syria is a distinctive girls' name in United States, ranking #3618 in 2004 with 41 recorded births. The name reached its all-time peak in 2004 with 41 births ranking #3618. Since 1996, the popularity has increased by 141.2%. In 2004, approximately 1 in every 44,783 girls born was named Syria. FALLING Recent data shows the name is currently falling.