Zena is a distinctive girls' name in England & Wales, ranking #952 in 1999 with 22 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #787. Since 1996, the popularity has increased by 69.2%. In 1999, approximately 1 in every 12,804 girls born was named Zena. FALLING Recent data shows the name is currently falling.