Graci is a distinctive girls' name in United States, ranking #6484 in 1998 with 15 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 114.3%. In 1998, approximately 1 in every 117,793 girls born was named Graci. FALLING Recent data shows the name is currently falling.