The model matching problem for the discrete linear periodic system is considered, and a model matching method based on parameterized poles assignment algorithm is proposed. Starting from the viewpoint of time-domain, by periodic state feedback, the closed-loop system is made sufficiently to reach the target system. Due to the sufficient degree of freedom provided by using the parametric poles assignment algorithm, the proposed method can achieve zero error matching. A numerical example is given to illustrate the effectiveness of the proposed method.