Zena is a distinctive girls' name in England & Wales, ranking #1731 in 2010 with 16 recorded births. The name reached its all-time peak in 1998 with 29 births ranking #787. Since 1996, the popularity has increased by 23.1%. In 2010, approximately 1 in every 20,065 girls born was named Zena. FALLING Recent data shows the name is currently falling.