Rim is a distinctive girls' name in United States, ranking #18567 in 2015 with 5 recorded births. This places Rim in the bottom 3% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2000 with 9 births ranking #10553. In 2015, approximately 1 in every 356,931 girls born was named Rim. STABLE Recent data shows the name is currently stable.