The purpose of this study is to develop numerical analysis algorithm, which is being able to analyze the compressible flow by Meshless (or Gridless) method. This paper includes Meshless Method on 2-D steady inviscid compressible flow and numerical analysis results of it. The Meshless Method has two aspects. :1) Automatic point generation technique, 2) Numerical analysis scheme. The method applies to an analysis of flow around cylinder depending on a variety of flow velocities. And then it is conducted comparative analysis by a program which is based on Finite Volume Method (FVM) for confirmation of the efficiency, accuracy and convergence.