Rayni is a distinctive girls' name in United States, ranking #18954 in 2011 with 5 recorded births. The name reached its all-time peak in 1997 with 10 births ranking #8865. Since 1996, the popularity has decreased by 37.5%. In 2011, approximately 1 in every 351,761 girls born was named Rayni. FALLING Recent data shows the name is currently falling.