Heber is a distinctive boys' name in United States, ranking #1929 in 2002 with 58 recorded births. The name reached its all-time peak in 2005 with 81 births ranking #1664. Since 1996, the popularity has increased by 38.1%. In 2002, approximately 1 in every 33,474 boys born was named Heber. STABLE Recent data shows the name is currently stable.