Zena is a distinctive girls' name in England & Wales, ranking #1176 in 2003 with 19 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #787. Since 1996, the popularity has increased by 46.2%. In 2003, approximately 1 in every 14,667 girls born was named Zena. FALLING Recent data shows the name is currently falling.