A sleeve device includes a main unit having a sleeve with an open end face, a receiving space intercommunicating with the open end face, and a radial hole. An engaging member extends into the receiving space. A fixing member is mounted to an end of the receiving space opposite to the open end face. A pressing member is slideably received in the receiving space for pressing against the fixing member. The pressing member includes a cylindrical portion, an abutting portion, and a pressing portion, with the abutting portion and the pressing portion disposed on two ends of the cylindrical portion. A positioning member is slideably received in the radial hole for selectively pressing against an outer periphery of the cylindrical portion or the pressing portion. A ring is rotatably mounted around the sleeve and includes an inner periphery and a first recessed portion for selectively abutting the positioning member.