Zeb is a distinctive boys' name in United States, ranking #2845 in 2003 with 35 recorded births. The name reached its all-time peak in 2001 with 35 births ranking #2741. Since 1996, the popularity has increased by 94.4%. In 2003, approximately 1 in every 56,436 boys born was named Zeb. FALLING Recent data shows the name is currently falling.