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This study proposes a method of constructing type Ⅱ generalized angulated elements (GAEs Ⅱ) Hoberman sphere mechanisms on the basis of deployment axes that intersect at one point.First,the constraint conditions for inserting n GAEs Ⅱ into n deployment axes to form a loop are given.The angle constraint conditions of the deployment axes are obtained through a series of linear equations.Second,the connection conditions of two GAEs Ⅱ loops that share a common deployable center are discussed.Third,a flowchart of constructing the generalized Hoberman sphere mechanism on the basis of deployment axes is provided.Finally,four generalized Hoberman sphere mechanisms based on a fully enclosed regular hexahedron,arithmetic sequence axes,orthonormal arithmetic sequence axes,and spiral-like axes are constructed in accordance with the given arrangement of deployment axes that satisfy the constraint conditions to verify the feasibility of the proposed method.