An air valve connecting device or attachment includes a housing having an inlet mouth, a gasket engaged into the housing for engaging with an inflation valve, a casing engaged in the housing for compressing the gasket to grasp the inflation valve to the housing, and the casing includes a compartment communicative with the gasket for engaging with a valve piece which selectively blocks the casing, a spring biases the valve piece to engage with the casing, an actuator is engageble with the casing for compressing the gasket to grasp the inflation valve to the housing, and the actuator includes a valve member for preventing an air leaking problem from being occurred by the inflation valves.