Shasta is a distinctive girls' name in United States, ranking #7026 in 2009 with 19 recorded births. The name reached its all-time peak in 1996 with 56 births ranking #2367. Since 1996, the popularity has decreased by 66.1%. In 2009, approximately 1 in every 96,677 girls born was named Shasta. FALLING Recent data shows the name is currently falling.