Terrence is a distinctive boys' name in United States, ranking #561 in 2002 with 397 recorded births. The name reached its all-time peak in 1996 with 623 births ranking #376. Since 1996, the popularity has decreased by 36.3%. In 2002, approximately 1 in every 4,890 boys born was named Terrence. FALLING Recent data shows the name is currently falling.