Zena is a distinctive girls' name in England & Wales, ranking #1807 in 2011 with 15 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #787. Since 1996, the popularity has increased by 15.4%. In 2011, approximately 1 in every 21,421 girls born was named Zena. FALLING Recent data shows the name is currently falling.