Abstract: Two-dimensional domain decomposition method and parallel computing method are applied to solve Euler equations on networked computers. The Van Leer-s Flux-Vector-Splitting method is applied. All the variables are stored in one-dimensional order, so the domain decomposition can be made arbitrarily. Non-reflection boundary conditions, conservative interface boundary condition and "First-In First-Out" synchronization strategy are applied. Two examples of different decomposition show that efficiency of various types of decomposition does not decrease by using conservative interface boundary condition given by the present paper. Influencing factors on increasing parallel performance are discussed. Examples show that the higher speedup ratio can be reached if the overhead ratio of communication over computing is smaller when parallel computing load maintains balanced well.