The present paper describes the adaptive Free Mesh Method (adaptive-FMM) applied to elasto-plastic large deformation analysis. The adaptive-FMM is a combined technique to incorporating adaptive remeshing technique in Free Mesh Method. The present paper shows the formulation of adaptive-FMM in elasto-plastic analysis to investigate the validity of the present method in 2-Dimensional and 3-Dimensional analysis. The adaptive remeshing technique is based on h-approach, and compared to conventional FEM and FMM numerical results for largely deformed shear problem. The present paper also describes the 3-Dimensional Delaunay method used in making local mesh geometry around the central node.