The invention discloses a high-speed press-machine base dynamic-performance reliability design method taking probability uncertainty and interval uncertainty into account. The method includes the following steps that a minimum value of reliability under the influence of interval variables is selected as a reliability index, and a probability-interval hybrid reliability design model of high-speed press-machine base dynamic-performances is constructed; Latin hypercube sampling and a co-simulation technology are adopted to obtain adequate sample points; a polynomial response surface model of functional functions corresponding to the high-speed press-machine base dynamic-performances is constructed; in combination with a genetic algorithm and a design point method, double-layer nested optimization is conducted on the probability-interval hybrid reliability design model, and when the minimum value of the reliability under the influence of the interval variables meets reliability requirements and the functional functions meet accuracy requirements, an optimal solution of the probability-interval hybrid reliability design model is output. By the adoption of the high-speed press-machine base dynamic-performance reliability design method, not only can the reliability design requirements of a base be met, but also the relatively high calculation efficiency can be maintained, and accurate and reliable calculation results are obtained.