An air valve connecting device or attachment includes a casing extended from a housing, a mouth engaged in the casing and having a compartment for engaging with either a US or French inflation valve, a follower slidably engaged in the casing and the housing and engageable with the mouth for compressing the mouth to grasp either of the inflation valves, a tube slidably engaged in the follower and extendible into the mouth, an actuator engaged in the housing and having a space for engaging with the follower, and the actuator includes a cam member for engaging with the follower and for forcing the follower to compress the mouth and to grasp either of inflation valves to the casing.