Monserrat is a distinctive girls' name in United States, ranking #702 in 2001 with 353 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 469.4%. In 2001, approximately 1 in every 5,101 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.