Jenice is a distinctive girls' name in United States, ranking #6974 in 2005 with 17 recorded births. The name reached its all-time peak in 2002 with 30 births ranking #4221. Since 1996, the popularity has decreased by 22.7%. In 2005, approximately 1 in every 108,688 girls born was named Jenice. FALLING Recent data shows the name is currently falling.