Ulyses is a distinctive boys' name in United States, ranking #2154 in 1998 with 43 recorded births. The name reached its all-time peak in 1998 with 43 births ranking #2154. Since 1996, the popularity has increased by 48.3%. In 1998, approximately 1 in every 44,449 boys born was named Ulyses. FALLING Recent data shows the name is currently falling.