Hurricane Gustav(pron.: /ˈɡʊstɑːv/) the 2nd most destructive hurricane of 2008 Atlantic season.He was the 7th tropical cyclone,3rd hurricane, and 2nd major hurricane of the season. Gustav caused serious damage and casualties in Haiti, the Dominican Republic, Jamaica, the Cayman Islands, Cuba and the United States.early on August 26. Later that day it made landfall near the Haitian town of Jacmel. It inundated Jamaica & ravaged Western Cuba, then moved across the Gulf of Mexico.