Zena is a distinctive girls' name in United States, ranking #3000 in 2015 with 58 recorded births. The name reached its all-time peak in 1996 with 127 births ranking #1342. Since 1996, the popularity has decreased by 54.3%. In 2015, approximately 1 in every 30,770 girls born was named Zena. FALLING Recent data shows the name is currently falling.