The problem of measuring sphericity is often encountered in technology. At the same time, the use of various spheres as a base still causes discussion in metrology. Therefore, the article considers three options: Least Square Sphere, Minimum Zone Sphere, Minimax Sphere. The first two methods are known, and the latter method is proposed by the authors. A calculation is made for known test data and experiments for closed and unclosed areas of the sphere. Three schemes of location of control points on the sphere are investigated. The above results made it possible to give recommendations on the application of methods for measuring sphericity in practice.