Abstract: The dissipative properties of fractional derivative three-parameter standard solid model were investigated. Fractional derivative three-parameter viscoelastic standard solid model was established base on the viscoelastic theory and the theory of fractional derivative, the compliance of fractional derivative three-parameter viscoelastic solid model was calculated, then its loss ratio and angle of internal friction angel were worked out. Finally, in the form of numerical calculation, the changing characteristics of loss ratio and internal friction's angle with the frequency were analyzed. The results showed that the materials were close to the elastic material under low frequency. On the contrary, the materials have a tiny dissipation in each cycle and tend to a finite value under high frequency. The abscissa value of three-parameter solid's peak internal friction approximates to one with higher frequency.