Monserrat is a distinctive girls' name in United States, ranking #773 in 2015 with 367 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 491.9%. In 2015, approximately 1 in every 4,863 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.