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We theoretically investigate the electrical transport property of a quantum dot with longitudinal optical phonons.The conductance through the dot connected to two leads is calculated by the nonequilibrium Green function within coupling strengths show that the presence of a phonon field typically results in the suppression of the main peak accompanied by some phonon side peaks.Both the main peak and the side peaks are sensitive to the electronphonon coupling strength,which is related to temperature.Our results for this system are consistent with some related previous works but the calculation is comparatively simple.