Eunice is a distinctive girls' name in United States, ranking #1671 in 2018 with 125 recorded births. The name reached its all-time peak in 2004 with 212 births ranking #1082. Since 1996, the popularity has decreased by 30.6%. In 2018, approximately 1 in every 13,603 girls born was named Eunice. FALLING Recent data shows the name is currently falling.