Zena is a distinctive girls' name in England & Wales, ranking #1893 in 2012 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 2012, approximately 1 in every 21,471 girls born was named Zena. FALLING Recent data shows the name is currently falling.