The paper considers the evolutionary synthesis method of multi-criteria program control for dynamic systems. A computational technology involves the combined using of evolutionary finite-dimensional and infinite-dimensional multi-criteria optimization algorithms. A computational technology involves the combined using of evolutionary finite-dimensional and infinite-dimensional multicriteria optimization algorithms. Finite-dimensional multi-criteria optimization evolutionary algorithms are used to construct a discrete approximation of ε-effective solutions set. Infinite-dimensional multicriteria optimization evolutionary algorithms implement the stage of clarifying search, represent generalization of possible directions methods and use ε-effective solutions as initial approximations.