Graci is a distinctive girls' name in United States, ranking #7962 in 1997 with 11 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 57.1%. In 1997, approximately 1 in every 158,242 girls born was named Graci. FALLING Recent data shows the name is currently falling.