Natalya is a distinctive girls' name in United States, ranking #748 in 2009 with 380 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 222.0%. In 2009, approximately 1 in every 4,834 girls born was named Natalya. FALLING Recent data shows the name is currently falling.