Monserat is a distinctive girls' name in United States, ranking #5733 in 2003 with 21 recorded births. The name reached its all-time peak in 2008 with 41 births ranking #3916. Since 1996, the popularity has increased by 250.0%. In 2003, approximately 1 in every 87,002 girls born was named Monserat. FALLING Recent data shows the name is currently falling.