To obtain wavelength-tunable pulse cylindrical vector beam, a linear cavity mode-locked doped-Yb fiber laser was experimentally constructed by using a chirped fiber grating and a semiconductor saturable absorption mirror. A long-period fiber grating was inserted into the cavity to serve as mode conversion device. The results show that when the mode-locked fiber laser operates at 1060.72 nm, the spectral width, slope efficiency, pulse width, fundamental repetition frequency, signal-to-noise ratio, and the cylindrical vector beam mode purity is 0.22 nm, 8.6%, of 10.9 ps, 18.66 MHz, 65 dB, >97%, respectively. Besides, the operating wavelength of the mode-locked fiber laser can be continuously tuned from 1060.72 nm to 1066.04 nm due to the changing of the cavity loss by adjusting the polarization controller. This study may provide an important reference for the development of wavelength-tunable pulsed cylindrical vector beam fiber laser.