Abstract: The dynamic gridless points were used to track the complex deformation of the free movable interfaces, and the least-square gridless method for the compressible multi-material flows was developed. The material interface was treated as a series of dynamic gridless points with a dual definition. The ghost fluid method (GFM) was applied to deal with the interface points and create ghost fluid points, and the multi-material flow was divided into several independent single material flows. In order to restrain spurious numerical oscillations on material interface, the solver of the local Riemann problem on the interface was introduced into updating the flow parameters of the interface points and ghost points. Local cloud rebuilding algorithm was utilized to deal with dynamic clouds of points. AUFS scheme was extended to calculate the numerical convective flux of the Euler equations in the ALE form. The one-dimensional shocktubes problems and two-dimensional complicated problems with large deformation were simulated. The result demonstrates that the proposed gridless method is able to keep track of the material interfaces and the shock waves accurately, and makes a success of rebuilding the local deformable region.