Zena is a distinctive girls' name in United States, ranking #3195 in 2002 with 45 recorded births. The name reached its all-time peak in 1996 with 127 births ranking #1342. Since 1996, the popularity has decreased by 64.6%. In 2002, approximately 1 in every 39,929 girls born was named Zena. FALLING Recent data shows the name is currently falling.