Weinvestigatetherelativisticeffectsofamovingparticleinthefieldofapseudoharmonicoscillatory ring-shaped potential under the spin and pseudospin symmetric Dirac wave equation. We obtain the bound-state energyeigenvalueequationandthecorrespondingtwo-componentsspinorwavefunctionsbyusingtheformalism of supersymmetric quantum mechanics (SUSYQM). Furthermore, the non-relativistic limits are obtained by simply making a proper replacement of parameters. The thermodynamic properties are also studied. Our numerical results for the energy eigenvalues are also presented.