Yen is a distinctive girls' name in United States, ranking #11808 in 2005 with 9 recorded births. The name reached its all-time peak in 1998 with 14 births ranking #7095. Since 1996, the popularity has increased by 28.6%. In 2005, approximately 1 in every 205,300 girls born was named Yen. FALLING Recent data shows the name is currently falling.