Shasta is a distinctive girls' name in United States, ranking #7830 in 2010 with 16 recorded births. The name reached its all-time peak in 1996 with 56 births ranking #2367. Since 1996, the popularity has decreased by 71.4%. In 2010, approximately 1 in every 111,083 girls born was named Shasta. FALLING Recent data shows the name is currently falling.