Abstarct: Topology optimization is one of the most important kinds of structural optimization problems, aims to find the optimum distribution of materials in a certain domain. During the last decade, two general approaches on topology optimization problems have been developed. In more common approach, the compliance or energy of deformation is minimized for a given amount of materials. The other approach is to minimize the weight of structures under stress or displacement constraints. The purpose of this research is to provide a new method for improving the performance of topology optimization of structures by using isogeometric analysis. To receive this goal, less control points have been used to make level set function. The Hamilton–Jacobi equation is also numerically solved in the parametric space of the spline basis functions. In the level set method, the topology of structure is introduced by a higher-order implicit function over the domain that any changes in this function during the optimization process can easily model boundaries. Zero level provides the boundaries of the structure. The positive values of this function indicate the presence of materials and the negative values indicate the areas empty of materials in the design domain. In this research, the same basis functions are employed for approximating the level set function, deformations and geometry modeling. At the end, several examples are demonstrated to show the performance of the proposed method.