In this paper, we considered a Stochastic Interval-Valued Linear Fractional Programming problem(SIVLFP). In this problem, the coefficients and scalars in the objective function are fractional-interval, and technological coefficients and the quantities on the right side of the constraints were random variables with the specific distribution. Here we changed a Stochastic Interval-Valued Fractional Programming problem to an optimization problem with an interval-valued objective function, so that its boundaries are fractional functions. A numerical example was presented to demonstrate the effectiveness of the proposed method.