Monserrat is a distinctive girls' name in United States, ranking #803 in 2009 with 354 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 471.0%. In 2009, approximately 1 in every 5,189 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.