Alysa is a distinctive girls' name in United States, ranking #851 in 2003 with 284 recorded births. The name reached its all-time peak in 2001 with 325 births ranking #737. Since 1996, the popularity has increased by 19.8%. In 2003, approximately 1 in every 6,433 girls born was named Alysa. FALLING Recent data shows the name is currently falling.