In this paper，the formulas have been developed concerning the relationship of the impulse response sequence h(i，j)of a c1ass of two-dimension ARMA model and the parameter sets {a_ij} and {b_ij}，and the proof is given. With the help of the formulas，an algorithm determining the model's order is given by the impulse response sequence; then an algorithm identifying the model's parameter sets {a_ij} and {b_ij} is given by means of the impulse response sequence and the order determined. By the algorithms, the method based on the impulse reponse sequence is obtained to determine the two-dimensional frequency response，it is different from FFT algorithm. Compared with classifical FFT algorithm， it has the following advantages: (1)smaller calculating quantities. (2)higher resolution. (3)continuous frequency respcnse can be given. At last，an example of simulation is illustrated. When improved，the algorithm can be applied to radar target identification and image reconstruction.