Abstract: With help of the nonconforming EQ₁^rot element and zero order Raviart-Thomas element,a new low order nonconforming mixed finite elements approximation scheme was proposed for the pseudo-hyperbolic equation, which can satisfy Brezzi-Babuska condition automatically.Based on the special characters of the interpolation operators of the elements, derivative transferring technique with respect to the time and interpolation post-processing technique, the superclose properties and superconvergence results with order O(h²) for the primitive solution in H¹-norm and the intermediate variable in L²-norm were deduced separately for semi-discrete scheme. At the same time, the superclose properties with order O(h²+τ²) and optimal order error estimates with order O(h+τ²) of original variable in H¹-norm and intermediate variable in L²-norm were separately derived for a second order fully-discrete scheme.