Inna is a distinctive girls' name in United States, ranking #6158 in 2003 with 19 recorded births. The name reached its all-time peak in 2015 with 27 births ranking #5038. Since 1996, the popularity has increased by 26.7%. In 2003, approximately 1 in every 96,161 girls born was named Inna. FALLING Recent data shows the name is currently falling.