Natalya is a distinctive girls' name in United States, ranking #860 in 2008 with 324 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 174.6%. In 2008, approximately 1 in every 5,836 girls born was named Natalya. FALLING Recent data shows the name is currently falling.