Rima is a distinctive girls' name in United States, ranking #12243 in 2009 with 9 recorded births. The name reached its all-time peak in 2015 with 38 births ranking #3973. Since 1996, the popularity has decreased by 55.0%. In 2009, approximately 1 in every 204,097 girls born was named Rima. RISING Recent data shows the name is currently rising.