In this work, we employ a spectral collocation method to solve the time-fractional stochastic Burgers-Huxley equation (TFSBHE) driven by white noise. This method, which is based on the second-kind Chebyshev polynomials, is applied to convert the solution of TFSBHE to the solution of a nonlinear system of algebraic equations. Moreover, the convergence analysis of this suggested method is established. Finally, some numerical test examples and the order of convergence are implemented to validate the robustness of the proposed approach. The obtained results illustrate the efficiency and applicability of the proposed method.