Monserrat is a distinctive girls' name in United States, ranking #675 in 2008 with 452 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 629.0%. In 2008, approximately 1 in every 4,183 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.