The traditional Kiewitt reticulated single layer shell mesh was optimized by the method based on the Spring Force between nodes and the Laplacian Smoothing method， and two new spherical mesh forms are obtained. Firstly， the calculation principle and process of the two algorithms are introduced： the method based on the force between the nodes assumes the member as a spring， and moves the node in the direction of the unbalanced force， so as to obtain a grid （SF mesh） with a more uniform length of the member. At the same time， a smoother mesh （LS mesh） can be obtained by using the Laplacian smoothing method. Then， the Kiewitt mesh， SF mesh， and LS mesh were compared. In terms of geometric indices， the average length of the member， the change rate of member length and the shape coefficient of the mesh triangle of the three kinds of reticulated shells were compared. In terms of mechanical properties， the elastic strain energy and nonlinear stability bearing capacity of three kinds of reticulated shells under different load modes are compared. The numerical analysis results show that the SF mesh has better geometric indices than the LS mesh. In most cases， the SF mesh and LS have lower strain energy； and the stability ultimate bearing capacity of the three meshes is relatively close. On the whole， the SF mesh has the best overall mechanical properties； the LS mesh has the best mesh fluency； SF mesh and LS mesh are both better than the traditional Kiewitt reticulated shell.