Monserrat is a distinctive girls' name in United States, ranking #1047 in 2012 with 241 recorded births. The name reached its all-time peak in 2014 with 498 births ranking #592. Since 1996, the popularity has increased by 288.7%. In 2012, approximately 1 in every 7,306 girls born was named Monserrat. FALLING Recent data shows the name is currently falling.