An air valve connector is threadly engaged to a nozzle head of an air pump, which is eccentrically and pivotally connected with a cam lever. The cam lever is adapted to press against a plug and an airtight ring disposed in the nozzle head to compel the valve connector to connect with different types of air valves such as a French type valve, a German type valve, an English type valve, and an American type valve. The air valve connector is reversed easily between first and second positions to be adapted to connect with the different type valves by the user.