We demonstrate an all-solid-state continuous-wave (CW) single-frequency tunable 1.08 µm laser, which is realized by employing a disordered laser medium Nd:CaYAlO₄ (Nd:CYA) crystal. The maximal output power of single-frequency 1.08 µm laser is 1 W. By rotating the incident angle of the intracavity etalon (IE), the maximal tuning range of 183.71 GHz is achieved. After the IE is locked to the oscillating longitudinal mode of the laser, the continuous tuning range of 60.72 GHz for 1.08 µm laser is achieved by scanning the cavity length. To the best of our knowledge, this is the first demonstration of a CW single-frequency widely tunable 1.08 µm laser based on Nd:CYA crystal.