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The photon polarization parameter of the proton-deuteron radiative capture process at thermal proton energies is calculated up to leading order (LO),using pionless effective field theory (EFT).In order to make a comparative study of this model,we compare our results for the photon polarization parameter with the realistic Argonne v14 (AV14) and Argonne v18 (AV18) mode nucleon-nucleon potentials and Urbana Ⅸ or Tucson-Melboue threenucleon interactions.The theoretical description of the 2H(p,γ)3 He reaction at thermal energies is complicated by the presence of the Coulomb interaction.Only the s-wave capture contribution to the thermal energy of this reaction is calculated.Three-body currents give small but significant contributions to some of the observables in the proton-deuteron radiative capture cross section at thermal neutron energies.Our result is in good agreement with the available experimental data and potential models calculation at this order.