Ulyses is a distinctive boys' name in United States, ranking #3619 in 2003 with 25 recorded births. The name reached its all-time peak in 1998 with 43 births ranking #2154. Since 1996, the popularity has decreased by 13.8%. In 2003, approximately 1 in every 79,011 boys born was named Ulyses. FALLING Recent data shows the name is currently falling.