Fox's office said Gibson asked to meet with Fox because he wanted to help after Hurricane Stan hit the Gulf state of Veracruz, where the actor is filming a movie.
The hurricane and related storms left more than 1,500 dead or missing in Central America and Mexico. Another storm, Hurricane Wilma, was expected to come close to hitting Mexico's Yucatan peninsula late this week.
Gibson is filming the movie "Apocalypto," set 500 years ago in Central America.
Dialogue will be spoken in an obscure Mayan dialect, in the same way Gibson used Aramaic and Latin for his religious blockbuster "The Passion of the Christ."