A new approach for modeling cracks in element free Galerkin method is presented in this work, the crack model is assumed to be discrete, therefore, no crack topology is needed. A crack is presented at each node if a certain damage criterion is met, where the node is enriched by discontinuous shape functions and the visibility method is used in which the nodes on one side of the crack are considered opaque to the nodes at the other side. An exact solution is presented for the one-dimensional strain softening bar with a crack and the solution is compared with the proposed method, the results of the displacement field using the visibility based cracking particle method were very accurate, the method was able to capture the behavior of the crack in the one-dimensional bar. The solution of different two-dimensional problems is also presented and validated with experimental results in the literature. The results showed that the method is capable of predicting real life phenomena and mimic the behavior of real-life experiments with reasonable accuracy. The new method is relatively accurate with minimal computational effort compared to other FEM or XFEM.