Shasta is a distinctive girls' name in United States, ranking #7943 in 2015 with 15 recorded births. The name reached its all-time peak in 1996 with 56 births ranking #2367. Since 1996, the popularity has decreased by 73.2%. In 2015, approximately 1 in every 118,977 girls born was named Shasta. FALLING Recent data shows the name is currently falling.