Rimsha is a distinctive girls' name in United States, ranking #10554 in 2000 with 9 recorded births. The name reached its all-time peak in 2002 with 12 births ranking #8715. Since 1996, the popularity has increased by 50.0%. In 2000, approximately 1 in every 201,775 girls born was named Rimsha. RISING Recent data shows the name is currently rising.