Monserat is a distinctive girls' name in United States, ranking #4457 in 2005 with 31 recorded births. The name reached its all-time peak in 2008 with 41 births ranking #3916. Since 1996, the popularity has increased by 416.7%. In 2005, approximately 1 in every 59,603 girls born was named Monserat. FALLING Recent data shows the name is currently falling.