Shasta is a distinctive girls' name in United States, ranking #2894 in 2000 with 50 recorded births. The name reached its all-time peak in 1996 with 56 births ranking #2367. Since 1996, the popularity has decreased by 10.7%. In 2000, approximately 1 in every 36,319 girls born was named Shasta. FALLING Recent data shows the name is currently falling.