Terrence is a distinctive boys' name in United States, ranking #530 in 2003 with 440 recorded births. The name reached its all-time peak in 1996 with 623 births ranking #376. Since 1996, the popularity has decreased by 29.4%. In 2003, approximately 1 in every 4,489 boys born was named Terrence. FALLING Recent data shows the name is currently falling.