Graci is a distinctive girls' name in United States, ranking #4304 in 2014 with 34 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 385.7%. In 2014, approximately 1 in every 52,528 girls born was named Graci. FALLING Recent data shows the name is currently falling.