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The exact analytical bound state solutions of wave equations are still very interesting problems in fundamental quantummechanics. However, there are only a few potentials for which these wave equations can be exactly solved. In this paper, Spin and pseudospin symmetries of the Dirac equation for Modified Eckart plus Inverse square potential within a zero tensor interaction are investigated using the parametric Nikiforov-Uvarov method which is based on the solutions of general second-order linear differential equations with special functions. The bound state eigen value was obtained with some few cases of potential considerations.