Large-scale heavy-burden parallel stabilizing cargo-receiving platform (PSCRP) plays an important role in the safe transporting of container cargo on the sea. According to the engineering needs, a PSCRP with three morph scissors mechanism (MSM) limbs was innovatively designed. The MSM limb, with the function of displacement amplification, contained a subclosed loop kinematic chain URRRU (U (U denoted universal joint and R denoted revolute joint) and two SPS (S denoted spherical joint and P denoted prismatic pair) drive units. The MSM limb was equivalent with RPS kinematic chain when the two SPS drive units of the MSM limb were synchronously driven. In the non-inertial system, the parasitic displacement, velocity and acceleration of the upper-platform of the PSCRP were firstly analyzed based on vector method, and the position solution of the PSCRP mechanism was correspondingly obtained. Then the kinematics and dynamics analytic modellings of the PSCRP mechanism were established based on screw theory. Finally, the correctness of the models was verified by numerical example. A theoretical foundation was laid for the follow-up structural optimization and control of the PSCRP mechanism.