Graci is a distinctive girls' name in United States, ranking #5422 in 2017 with 24 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 242.9%. In 2017, approximately 1 in every 71,912 girls born was named Graci. FALLING Recent data shows the name is currently falling.