The invention discloses an automatic soft-to-soft flexible attaching machine and an attaching process thereof. The automatic soft-to-soft flexible attaching machine comprises an OLED adsorption and transfer platform, an OLED film tearing mechanism, a FILM feeding mechanism, a FILM transferring platform, a first carrying arm, a second carrying arm, a FILM tearing mechanism and an attaching mechanism. The OLED adsorption and transfer platform and the FILM transferring platform are horizontally arranged on a machine frame in the same direction at intervals, an OLED film is placed on the OLED adsorption and transfer platform, after initial positioning, the OLED film sequentially moves to the OLED film tearing mechanism and the attaching mechanism and the like to perform the film tearing action; and after a FILM is exported by the FILM feeding mechanism, the FILM is transported by the first carrying arm to the FILM transferring platform, the second carrying arm moves the FILM to the FILM tearing mechanism, the FILM tearing mechanism tears a film body at the bottom of the FILM, and the attaching mechanism attaches the FILM to the OLED film. The automatic soft-to-soft flexible attaching machine and the attaching process thereof solve the problems of bottom and surface film tearing of a flexible film, the adsorption stability during attaching and film tearing, the control over the angle change of the film or the film body during attaching and film tearing and the like.