Natalya is a distinctive girls' name in United States, ranking #988 in 2001 with 218 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 84.7%. In 2001, approximately 1 in every 8,259 girls born was named Natalya. FALLING Recent data shows the name is currently falling.