A mode converter is prepared through fusion taper coupling a single mode fiber and a few mode fiber, and then a multi-walled carbon nanotube film is used as a saturable absorber to cover the cone of the converter to form a saturable absorber cylindrical vector optical device. Combined the advantages of Q-switched fiber laser and mode conversion device, the pulse cylindrical vector beam can be generated simply and efficiently, and a pulsed high-order mode laser output with high peak power and high mode purity can be obtained. The experiment successfully achieves a stable Q-switched pulse output with a center wavelength of 1 560 nm, a maximum single pulse energy and a maximum peak power of 116 nJ and 57 mW, respectively. The output of the Q-switched laser with radially and azimuthally polarized beams can be achieved by adjusting the polarization controller in the optical path.