Abstract:The cosmologicalmodelindependent tests were performed for the distance-duality (DD) relation DL/(DA(1+z)2)=1 by combining the angular diameter distance DAwith the luminosity distanceDL. Two methods were employed, method A was binning the SNe Ia data and method B was smoothing method with the Gaussian smoothing function, to obtain DL associated with the redshits of the observed DA. Four parameterizations were adopted, separoctely they were η=1+ηoz,η=1+ηoz/(1+z),η=1+ηoz/(1+z)2,η=1-ηoln(1+z). It found that DD relation was consistent with the present observational data, and the results were not sensitive to the methods and parameterizations.