Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2056 2022 2022 Gaziantep University, Gaziantep, Turkey Murat Ozcek This paper is dedicated to find the values of the integrals in the spherical region of  depending on the generative Kernel method by finding the integral formula that we use in the orthogonal and regular operations to find Ortho-normal polynomials on the sphere with radius r. Also, we illustrate many examples to clarify the validity of our work. 2023 2023 34 46 10.54216/GJMSA.070204 https://www.americaspg.com/articleinfo/33/show/2056