The invention provides a spherical multidirectional compound type TMD damper. Two layers of big and small concentric spherical shells are used as a main frame of the spherical multidirectional compound type TMD damper, the two layers of the concentric spherical shells are connected with a support seat through an upper column rod, a lower column rod, a left column rod, a right column rod, a front column rod and a rear column rod, and are fixed to the main structure through the support seat. A large mass ball is located on the innermost portion, the large mass ball are fixed to the inner spherical shell in the upper, lower, left, right, front and back directions through damping springs, and the large mass ball is filled with viscous damping liquid. A certain number of small mass balls are arranged between the outer spherical shell and the inner spherical shell, and the small mass balls are tangent to the spherical shells on both sides. Through the homogeneity of a sphere in all directions, the damper can achieve the multifunctional damping control effect by almost 360 degrees; and in response to the vibration caused by external loads of different intensities, the spherical damper has different damping combinations correspondingly.