Monserat is a distinctive girls' name in United States, ranking #4904 in 2004 with 27 recorded births. The name reached its all-time peak in 2008 with 41 births ranking #3916. Since 1996, the popularity has increased by 350.0%. In 2004, approximately 1 in every 68,004 girls born was named Monserat. FALLING Recent data shows the name is currently falling.