Elyssa is a distinctive girls' name in United States, ranking #1606 in 2013 with 134 recorded births. The name reached its all-time peak in 2004 with 273 births ranking #891. Since 1996, the popularity has decreased by 42.2%. In 2013, approximately 1 in every 13,093 girls born was named Elyssa. FALLING Recent data shows the name is currently falling.