A finite element method is used to simulate the deformation of soft body. The crucial procedure of cutting simulation is the geometry remeshing. During remeshing, the inner topologie consistence need be considered. Previously, a large number sub-tetrahedral is used to avoid the consistence problem or an additional algorithm is used to check and adjust the geometry to keep its consistence. In this paper we present a novel method with minimal elements to guarantee the geometry consistence during tetrahedralization. And when the edge cut is close to an existing node, then just split the node instead of cutting the edge, which avoids small tetrahedra generated and significantly improves the stability of numeric solution.