In this paper, the 1 D space time conservation scheme modified by the author is extended to two dimensional ones and a general form of space time conservation scheme for 2 D Euler equations is obtained. This scheme is flexible and can be used in the computation of many flow problems. Of course, it has all the features which the space time conservation element and solution element method (CE/SE) has. Four complex flow problems are calculated using this scheme and the numerical results agree well with the experimental ones. It is also show that the scheme has high accuracy and high shock resolution.