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This paper investigates the long-term spreading radius of Gaussian beam propagating through the non-Kolmogorov turbulence along horizontal path. Based on the geometrical optics approximation and the property of Gamma function, the mathematical expression of the long-term spreading radius under the generalized modified atmospheric spectrum is reduced. The final expression could involve the power law value of non-Kolmogorov turbulence, the inner and outer scales, and other important parameters of Gaussian beam, simultaneously. The numerical simulations indicate that the long-term spreading radius is much more sensitive to the inner scale than to the outer scale. Besides, the larger the inner scale the smaller the long-term spreading radius could be.