Monserrat is a distinctive girls' name in United States, ranking #688 in 2002 with 365 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 488.7%. In 2002, approximately 1 in every 4,923 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.