Graci is a distinctive girls' name in United States, ranking #2877 in 2010 with 60 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 757.1%. In 2010, approximately 1 in every 29,622 girls born was named Graci. FALLING Recent data shows the name is currently falling.