Terrence is a distinctive boys' name in United States, ranking #716 in 2013 with 329 recorded births. The name reached its all-time peak in 1996 with 623 births ranking #376. Since 1996, the popularity has decreased by 47.2%. In 2013, approximately 1 in every 5,748 boys born was named Terrence. FALLING Recent data shows the name is currently falling.