Graci is a distinctive girls' name in United States, ranking #3232 in 2013 with 50 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 614.3%. In 2013, approximately 1 in every 35,088 girls born was named Graci. FALLING Recent data shows the name is currently falling.