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A novel translational parallel mechanism with three degrees of freedom was presented, which consisted of a moving platform connecting with a fixed base by three identical limbs. Mobility of the moving platform was analyzed and calculated according to the units of single-open-chain. Kinematic problems were discussed by means of different actuated joints inputs, i.e., rotational angle displacements and linear displacements, respectively. The analytical solutions of position, velocity and acceleration were derived. The kinematic simulation of this mechanism was carried out by Matlab and Pro/E software. Position, velocity and acceleration curves were described based on the analytical solutions and virtual prototype. Simulation results showed that the theoretic analysis was correct and feasible．When the linear displacements are selected as the actuated inputs, the Jacobian matrix of the mechanism is an identity one and its condition number is always equal to 1. The parallel mechanism, therefore, is full-isotropic throughout the entire workspace in this case.