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A six DOF (Degree Of Freedom) parallel mechanism having L-L actuators was presented. Having a specific architecture, the new kinematics features are revealed and analyzed. Briefly, the trends of the mechanisms' design for high speed and accuracy in the industrial automation area, was addressed. The reverse and forward general analytic relations were established after a structural analysis of the proposed mechanism. Its structure being actuated and guided only in three points contains the minimum necessary elements to define and move a body in space and therefore make it suitable for accurate and dynamic tasks with few intersections between parts. To solve the forward and reverse positional problems the use of the mobile curves of guidance equations method was proposed. The numerical solutions were obtained and graphically simulated for some examples. Finally, the mechanical design of one experimental model is briefly presented. Thanks to its features, based on the 2 DOF linear actuators, the proposed mechanism is suitable not only for spatial positioning units, but could also be used with an appropriate design, in the handling or packing systems, or machine tools applications, anywhere when the number of masses in movement and the intersections of the elements are more important then the workspace, and the accuracy and speed are main design considerations.