Graci is a distinctive girls' name in United States, ranking #3024 in 2012 with 56 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 700.0%. In 2012, approximately 1 in every 31,442 girls born was named Graci. FALLING Recent data shows the name is currently falling.