Venecia is a distinctive girls' name in United States, ranking #6875 in 2003 with 17 recorded births. The name reached its all-time peak in 2000 with 28 births ranking #4392. Since 1996, the popularity has increased by 30.8%. In 2003, approximately 1 in every 107,474 girls born was named Venecia. FALLING Recent data shows the name is currently falling.