Venecia is a distinctive girls' name in United States, ranking #6379 in 2002 with 18 recorded births. The name reached its all-time peak in 2000 with 28 births ranking #4392. Since 1996, the popularity has increased by 38.5%. In 2002, approximately 1 in every 99,823 girls born was named Venecia. FALLING Recent data shows the name is currently falling.