The invention discloses a method of damping vibration attenuation of six freedom degrees of a space. The method comprises the following steps: 1) establishing a six-freedom-degree damping vibration attenuation mechanism; 2) establishing a coordinate system; 3) carrying out inverse solution to obtain the distance between spherical hinges at two ends of six dampers; and 4) listing out a mathematic relationship between a damper Ci and the distance, namely an AiBj length, between the spherical hinges at two ends of six dampers, and carrying out damping adjustment according to demands. By adopting a set of six-freedom-degree damping vibration attenuation mechanism, the six freedom damping control to moving objects can be realized; by adopting a parallel connection mechanism, the six-freedom-degree damping vibration attenuation mechanism is good in rigidness, simple and compact in structure, strong in bearing ability, good in stability and good in flexibility, strong in adaptability and wide in application range; and the installation structure, the size and the like of the mechanism can be changed according to the requirements of the environment and users.