Monserat is a distinctive girls' name in United States, ranking #7953 in 2014 with 15 recorded births. The name reached its all-time peak in 2008 with 41 births ranking #3916. Since 1996, the popularity has increased by 150.0%. In 2014, approximately 1 in every 119,062 girls born was named Monserat. FALLING Recent data shows the name is currently falling.