Shasta is a distinctive girls' name in United States, ranking #3928 in 2001 with 33 recorded births. The name reached its all-time peak in 1996 with 56 births ranking #2367. Since 1996, the popularity has decreased by 41.1%. In 2001, approximately 1 in every 54,562 girls born was named Shasta. FALLING Recent data shows the name is currently falling.