Zena is a distinctive girls' name in England & Wales, ranking #1365 in 2009 with 21 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #787. Since 1996, the popularity has increased by 61.5%. In 2009, approximately 1 in every 14,923 girls born was named Zena. FALLING Recent data shows the name is currently falling.