Natalya is a distinctive girls' name in United States, ranking #768 in 2010 with 357 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 202.5%. In 2010, approximately 1 in every 4,979 girls born was named Natalya. FALLING Recent data shows the name is currently falling.