Jenice is a distinctive girls' name in United States, ranking #6771 in 2001 with 16 recorded births. The name reached its all-time peak in 2002 with 30 births ranking #4221. Since 1996, the popularity has decreased by 27.3%. In 2001, approximately 1 in every 112,535 girls born was named Jenice. FALLING Recent data shows the name is currently falling.