Based on the screw theory and the driven-chain principle, a method of structural synthesis for fully-decoupled three-translational and one-rotational (3T1R) parallel mechanisms was proposed. Firstly, according to the desired characteristics of the parallel mechanism (moving along X, Y, Z axis and rotating about Z axis, respectively) and requirements,the direct and the inverse Jacobian matrices had to be diagonal, the desired forms for the direct and the inverse Jacobian matrices were constructed. Secondly, according to the features of the direct and the inverse Jacobian matrices, the effective screws, the actuated screws and the mobile un-actuated screws of each leg were established based on the reciprocal screw theory and the structural synthesis of each kinematic chain for fully-decoupled 3T1R parallel robotic manipulators was performed in the light of different connectivity of the limbs. Finally, the parallel mechanism was obtained by the connection of 4 chains with the moving platform and the fixed base in terms of the parallel mechanism kinematic principles. The output of the synthesized parallel mechanism was provided by the independent input-driven of each chain and the direct Jacobian matrices maintained diagonal during the moving process. The parallel mechanism is fully-decoupled,which can be controlled with ease and has a certain application prospect.