Zena is a distinctive girls' name in United States, ranking #2017 in 1999 with 78 recorded births. The name reached its all-time peak in 1996 with 127 births ranking #1342. Since 1996, the popularity has decreased by 38.6%. In 1999, approximately 1 in every 22,741 girls born was named Zena. FALLING Recent data shows the name is currently falling.