The invention discloses a three-translation redundant drive parallel mechanism comprising closed loop units, and relates to the technical field of robots. The three-translation redundant drive parallel mechanism comprises a fixed platform, a movable platform, two first branch chains and two second branch chains, wherein two first horizontal slide rails, two second horizontal slide rails, two first vertical slide rails and two second vertical slide rails are arranged on the fixed platform, the movable platform is located above the fixed platform, the two first branch chains are symmetrically arranged on the two sides of the movable platform, and the two second branch chains are symmetrically arranged on the other two sides of the movable platform. The first branch chains and the second branch chains each comprise the closed loop unit, so that the structure is compact, the rigidity is high, eight moving pairs are arranged in the two first branch chains and the two second branch chains in total, the moving pairs are all driving pairs, and the eight driving pairs drive the movable platform to achieve translational motion in three spatial directions relative to the fixed platform, so that redundant drive is achieved, the bearing capacity, driving stability and overall rigidity of the mechanism are improved, and control is convenient.