Rima is a distinctive girls' name in United States, ranking #4765 in 1998 with 23 recorded births. The name reached its all-time peak in 2015 with 38 births ranking #3973. Since 1996, the popularity has increased by 15.0%. In 1998, approximately 1 in every 76,821 girls born was named Rima. RISING Recent data shows the name is currently rising.