Based on the single-spin transition critical dynamics, we investigate the critical slowing down of the Gaussian spin model on dilational symmetric Sierpinski gaskets. We calculate the dynamical critical exponent z using the dynamical decimation renormalization-group technique in the assumption of the magnetic-lile perturbation, and found that the dynamical critical exponent z of the system is only related to the static length-correlation exponent ν, but is foreign to the fractal dimenionality Df. The result of the universal conclusion z=1/ν has been verified again in this paper.