Zena is a distinctive girls' name in England & Wales, ranking #1032 in 2002 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 2002, approximately 1 in every 12,732 girls born was named Zena. FALLING Recent data shows the name is currently falling.