Rima is a distinctive girls' name in United States, ranking #8137 in 2004 with 14 recorded births. The name reached its all-time peak in 2015 with 38 births ranking #3973. Since 1996, the popularity has decreased by 30.0%. In 2004, approximately 1 in every 131,152 girls born was named Rima. RISING Recent data shows the name is currently rising.