Natalya is a distinctive girls' name in United States, ranking #1173 in 1999 with 166 recorded births. The name reached its all-time peak in 2009 with 380 births ranking #748. Since 1996, the popularity has increased by 40.7%. In 1999, approximately 1 in every 10,685 girls born was named Natalya. FALLING Recent data shows the name is currently falling.