In the paper the linear gain of coaxial-cavity cyclotron autoresonance maser amplifier is researched by the gyrokinetics. The outer-contructor radius, the electron beam radius and beam voltage's change on the linear gain is great, but the influence of the inner-rod radius's change on the linear gain is small. It is shown by optimizing the parameters that the linear gain of the simulation might be raised up to 294.96 dB/m that the outer-contructor radius is 3.805 cm, the inner-rod radius is 1.039 cm, the electron beam radius is 1.309 cm, beam voltage is 54.9 kV.