Ulyses is a distinctive boys' name in United States, ranking #2680 in 2002 with 36 recorded births. The name reached its all-time peak in 1998 with 43 births ranking #2154. Since 1996, the popularity has increased by 24.1%. In 2002, approximately 1 in every 53,930 boys born was named Ulyses. FALLING Recent data shows the name is currently falling.