Shasta is a distinctive girls' name in United States, ranking #7363 in 2008 with 18 recorded births. The name reached its all-time peak in 1996 with 56 births ranking #2367. Since 1996, the popularity has decreased by 67.9%. In 2008, approximately 1 in every 105,040 girls born was named Shasta. FALLING Recent data shows the name is currently falling.