This paper presents the implementation of a refinement - derefinement (RD) approach to reduce the computing time in single point incremental sheet forming (SPIF) simulation. The results of this approach are compared to a reference model that has a fine enough mesh to satisfy the process requirements. The fine mesh is created by refining an intermediate coarse mesh entirely. The RD approach performs one level of refinement–derefinement on the same intermediate coarse mesh based on a geometrical error indicator. The integration point data is mapped by a least squares method. The simulation of forming a 45 degree pyramid is considered as reference test. The refinement–derefinement approach reduces the computing time for the reference model by 50%. The achieved equivalent plastic strain by this approach shows a good agreement with the reference model.