On the basis of the relation between the multichannel prediction model and the 2-D prediction model, the convergence properties of prediction error covariance, prediction coefficients and corresponding 2-D polynomials of the latter model are derived from the known convergence properties of those of the former model. Furthermore, the formulas of the convergence order of the 2-D prediction model are obtained by using the knowledge of the convergence order of 2-D correlation sequence {γi,j}.