An air valve connecting device or attachment includes a mouth engaged in a housing and having a compartment for engaging with either a US or French inflation valve, a barrel engaged into the housing and engaged onto the mouth, an actuator slidably engaged in the housing and engageable with the barrel, and a cam member is engageable with the actuator for selectively forcing the actuator and the barrel to compress the mouth to grasp either of the inflation valves to the housing, a tube is slidably engaged in the actuator and extendible into the mouth, and a catch is slidably engaged in the actuator and engageable into the actuator for selectively engaging with and for retaining the tube to the actuator.