Zena is a distinctive girls' name in England & Wales, ranking #1711 in 2015 with 17 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #787. Since 1996, the popularity has increased by 30.8%. In 2015, approximately 1 in every 18,113 girls born was named Zena. FALLING Recent data shows the name is currently falling.