Zena is a distinctive girls' name in United States, ranking #1788 in 1998 with 88 recorded births. The name reached its all-time peak in 1996 with 127 births ranking #1342. Since 1996, the popularity has decreased by 30.7%. In 1998, approximately 1 in every 20,078 girls born was named Zena. FALLING Recent data shows the name is currently falling.