This paper introduces a new method for three‐dimensional active sound‐field cancellation. Analytical considerations include the problem of an incident plane wave interacting upon a rigid sphere as the scattering object. An array with elements consisting of a set of rings perpendicular to the sphere's pole axis is arranged on the surface of the sphere. This discussion will present an analytical technique for cancellation of the scattered sound field to arbitrary extent over either the whole space or the partial area of interest, as long as the number of the array elements is sufficient. Further considerations include a fixed and a variable incident plane‐wave direction with respect to the pole axis of the sphere.