Monserrat is a distinctive girls' name in United States, ranking #1069 in 2010 with 233 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 275.8%. In 2010, approximately 1 in every 7,628 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.