Natalya is a distinctive girls' name in United States, ranking #825 in 2006 with 327 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 177.1%. In 2006, approximately 1 in every 5,814 girls born was named Natalya. FALLING Recent data shows the name is currently falling.