Natalya is a distinctive girls' name in United States, ranking #996 in 2004 with 237 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 100.8%. In 2004, approximately 1 in every 7,747 girls born was named Natalya. FALLING Recent data shows the name is currently falling.