Zena is a distinctive girls' name in England & Wales, ranking #946 in 1997 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 1997, approximately 1 in every 13,326 girls born was named Zena. FALLING Recent data shows the name is currently falling.