Fiber stimulated Brillouin scattering (SBS) phase-conjugation mirrors (PCM) are used for improving higher average-power solid-state laser′s beam quality, due to their advantages in all solid-state, low power threshold, high fidelity and no toxicity. On the other hand, these fiber SBS-PCMs have the disadvantage of low laser damageresistant threshold, which limits their applications in high power laser systems. The research progress of various fiber SBS-PCMs is introduced, including single-core diameter fiber, fused silica rod-fiber combination, tapered fiber. The influence of laser-induced damage, laser thermal effects, acoustic wave field distribution of high repetition rate and high average power laser, on the characteristics of fiber SBS-PCMs is discussed.