The paper considers a technological module based on a parallel-serial structure manipulator with an additional passive connection. A special feature of the manipulator, built on the basis of a parallel-sequential structure, is the achievement of significant rigidity and accuracy compared to classical manipulator designs. The paper provides solutions for direct and inverse kinematics problems, and also presents an algorithm for solving the positioning problem for the output link of the manipulator. The problem of moving the output link of the manipulator along a given trajectory by the method of kinematic synthesis of program movements of the executive links of the manipulator is formulated.