Natalya is a distinctive girls' name in United States, ranking #944 in 2012 with 271 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 129.7%. In 2012, approximately 1 in every 6,497 girls born was named Natalya. FALLING Recent data shows the name is currently falling.