Zena is a distinctive girls' name in United States, ranking #1561 in 1997 with 104 recorded births. The name reached its all-time peak in 1996 with 127 births ranking #1342. Since 1996, the popularity has decreased by 18.1%. In 1997, approximately 1 in every 16,737 girls born was named Zena. FALLING Recent data shows the name is currently falling.