Monserrat is a distinctive girls' name in United States, ranking #1029 in 2011 with 243 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 291.9%. In 2011, approximately 1 in every 7,238 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.