Rougier earned 67 caps for the Trinidad and Tobago national team between 1995 and 2005, scoring five goals. He served as captain on numerous occasions. During this time his country won the Caribbean Cup in 1996 and 1999, beating Cuba on home soil in the final on both occasions. They also reached the final in 1998, but were beaten 2–1 by Jamaica. He was also in the squad for the 1996 and 2000 editions of the CONCACAF Gold Cup.