Zena is a distinctive girls' name in United States, ranking #3838 in 2011 with 40 recorded births. The name reached its all-time peak in 1996 with 127 births ranking #1342. Since 1996, the popularity has decreased by 68.5%. In 2011, approximately 1 in every 43,970 girls born was named Zena. FALLING Recent data shows the name is currently falling.