This paper proposes an all-fiber Mach-Zehnder Interference (MZI) dual-parameter sensor based on S-shaped-dislocation structure. The sensor is prepared by using fusion splicer through simple discharge and fusion splicing steps, with pieces of single-mode fibers. When the rotator is twisting clockwise, the transmission spectrum of the sensor shifts to the short wavelength direction; when it is twisting counterclockwise, the transmission spectrum shifts to the different direction. The sensor’s torsion experimental results show that the torsion direction can be distinguished, and the torsion sensitivity in the clockwise and counterclockwise rotation directions on the fiber cross-section is -223 pm/(rad·cm^-1), 140 pm/(rad·cm^-1), respectively. The strain sensitivity within a certain strain range is 0.145×10⁶ dB/ε (where ε is strain), and the temperature cross sensitivity is extremely small and can be ignored. Therefore, this dual-parameter sensor based on the SMF core-cladding MZI interferometer has the advantages of high sensing sensitivity, small size, simple process, low cost, and distinguishable torsion direction. It is expected to become a good candidate instruments in many dual-parameter measurement operations.