Jenice is a distinctive girls' name in United States, ranking #8782 in 2013 with 13 recorded births. The name reached its all-time peak in 2002 with 30 births ranking #4221. Since 1996, the popularity has decreased by 40.9%. In 2013, approximately 1 in every 134,955 girls born was named Jenice. FALLING Recent data shows the name is currently falling.