Monserrat is a distinctive girls' name in United States, ranking #2097 in 1998 with 70 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 12.9%. In 1998, approximately 1 in every 25,241 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.