Graci is a distinctive girls' name in United States, ranking #2128 in 2008 with 95 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 1,257.1%. In 2008, approximately 1 in every 19,902 girls born was named Graci. FALLING Recent data shows the name is currently falling.