Disclosed is a quick-disassembly nipple connector structure, which is mainly composed of a pipe, a pivoting assembly, a screwing member, a plurality of gripping jaws, a sleeve and a handle. The handle can be pulled by users to enable the quick-disassembly nipple connector structure to be rapidly connected to or separated from a grease nipple. When the handle is pulled downwards, the sleeve is located at a lock position to lock the grease nipple; and when the handle is pulled upwards, the sleeve is located at a release position to release the grease nipple. Thus, the quick-disassembly nipple connector structure has the advantages of being capable of improving work efficiency, high in positioning speed, high in accuracy and good in fixing property and has a good overall constituent strength, so that the motion stability is improved, and the operation smoothness and service life are ensured.