Heber is a distinctive boys' name in United States, ranking #1664 in 2005 with 81 recorded births. The name reached its all-time peak in 2005 with 81 births ranking #1664. Since 1996, the popularity has increased by 92.9%. In 2005, approximately 1 in every 24,656 boys born was named Heber. STABLE Recent data shows the name is currently stable.