Alysa is a distinctive girls' name in United States, ranking #737 in 2001 with 325 recorded births. The name reached its all-time peak in 2001 with 325 births ranking #737. Since 1996, the popularity has increased by 37.1%. In 2001, approximately 1 in every 5,540 girls born was named Alysa. FALLING Recent data shows the name is currently falling.