Alysa is a distinctive girls' name in United States, ranking #823 in 2004 with 302 recorded births. The name reached its all-time peak in 2001 with 325 births ranking #737. Since 1996, the popularity has increased by 27.4%. In 2004, approximately 1 in every 6,080 girls born was named Alysa. FALLING Recent data shows the name is currently falling.