Shasta is a distinctive girls' name in United States, ranking #4159 in 2002 with 31 recorded births. The name reached its all-time peak in 1996 with 56 births ranking #2367. Since 1996, the popularity has decreased by 44.6%. In 2002, approximately 1 in every 57,962 girls born was named Shasta. FALLING Recent data shows the name is currently falling.