Abstract: The non-stationary stochastic vibration of truss system with fuzzy random parameters is analyzed with a new two-factor-method. Considering the fuzzy-randomness of the structural physical parameters and geometric dimensions simultaneously, this paper develops fuzzy-random correlation function matrix of the displacement response in time domain, and then obtains the fuzzy-random mean square values of the displacement and stress in frequency domain. The fuzzy numerical characteristics of the fuzzy-random mean square values of the structural response are also obtained by the random variables’ moment method. Finally, the feasibility of the proposed method is verified via an engineering example.