An air supply system for a fuel cell and a fuel supply system with the same include a housing having an inlet hole and an outlet hole for respectively allowing inward and outward flow of a fluid; an air pump inserted and installed into the housing and having an inlet tube into which the fluid flows and an outlet tube through which the fluid flows out; a filtering portion installed between the inlet hole and the outlet hole within the housing and filtering particulate contaminants and chemical contaminants in the fluid; and a soundproofing member installed between the outlet tube and the outlet hole within the housing.