Abstarct: in this thises, the is present new method for time-optimal control and asymptotic of 2D discrete-time linear systems with time-delays by model Roesser. This method has 2 steps. In the first step, the delays 2D linear system with definition gain state vector convert to the 2D system without time delays. Then using elemintary similarity transformation, obtained system convert to the vector companion form, we compute state-feedback matrix F so that the closedloop system tends to zero all of eigenvalues. In the second step, as for the stability of discrete time systems it is necessery to place all of its eigenvalues in unit circle, we use partial eigenvalue assignment problem for delays 2D discrete-time linear systems and replace that eigenvalues of the open-loop matrix of system which isn’t in stability region with arbitrary eigenvalue untill system is stable. For solving this problem, with using of partial Schur decomposition method, we decompose big matrix َA to smaller matrixs. Then with applying similarity transation method for linear control systems, we allocate the desired spectrum to the system, so system will be stable. According to the open-loop matrix َA of the 2D discribed systemes is large and by solving partial eigenvalue assignment problem, we decompose it into smaller matrices and then assignment applied only for the small matrix, advantage of the presented method required less computation compared to similarity transation method and is suitable for systems that have been large and sparse matrices.