Annessa is a distinctive girls' name in United States, ranking #5919 in 1999 with 17 recorded births. The name reached its all-time peak in 2001 with 19 births ranking #5837. Since 1996, the popularity has increased by 13.3%. In 1999, approximately 1 in every 104,340 girls born was named Annessa. RISING Recent data shows the name is currently rising.