The invention discloses a nonsingularity space five- freedom-degree parallel robot, comprising a movable platform, a static platform and five branched-chains for connecting the movable platform and the static platform, wherein four branched-chains are unrestricted branched-chains with the same structure, one branched-chain is restricted branched-chain, each unrestricted branched-chain comprises aHooke's hinge, a first moving set with two slide bars and a first hinge ball which are connected in order, the Hooke's hinges and the first hinge balls of four branched-chains are respectively connected with corresponding angular points of the movable platform and the static platform, the restricted branched-chain comprises a rotary pair, a second moving set with two slide bars and a second hingeball which are connected in order, the rotary pair of the restricted branched-chain is connected with the center of the static platform, the second hinge ball of the restricted branched-chain is connected with the centre of the movable platform, the side length of the movable platform is different from that of the static platform. The invention has strong bearing capacity, good stress characteristics, no nonsingularity and good application in the fields of exact densor, micromotion operation table, virtual-shaft machine tool and the like.