Broussard is a city in Lafayette and St. Martin parishes in the U.S. state of Louisiana. The population was 8,197 at the 2010 U.S. census, and 1…Broussard is a city in Lafayette and St. Martin parishes in the U.S. state of Louisiana. The population was 8,197 at the 2010 U.S. census, and 13,417 at the 2020 United States census. Broussard is part of the Lafayette metropolitan statistical area.