A tunable multi-wavelength Brillouin-erbium-doped random fiber laser with a half-open cavity is proposed and experimentally demonstrated. It uses the backward Rayleigh scattering in the long single-mode fiber to provide random distributed feedback, and the stimulated Brillouin scattering and erbium-doped fiber to provide laser gain. In this simple laser device, stabilized 13-order Stokes light and 5-order anti-Stokes light can be obtained. By adjusting the wavelength of Brillouin pump, the random laser wavelength tuning in the range of 1550.5?1565.5 nm is realized. In addition, the wavelength fluctuation range of 1?10 orders' Stokes light is 0?0.008 nm, and the corresponding peak power fluctuation range is 0?2.28 dB, which prove that the laser has high wavelength and power stability. The results show that the laser has the advantages of simple structure, large numbers of spectral line orders, wide tunable wavelength range and high stability, which makes it has broad application prospects in many fields, such as dense wavelength division multiplexing optical communication systems, microwave photonics, precision metrology, fiber sensing and so on.