We tested how the AGN contribution (5%–75% of the total flux) may affect different morphological parameters commonly used in galaxy classification. We carried out all analysis at z ∼ 0 and at higher redshifts that correspond to the COSMOS field. Using a local training sample of >2000 visually classified galaxies, we carried out all measurements with and without the central source, and quantified how the contribution of a bright nuclear point source could affect different morphological parameters, such as: Abraham and Concelice-Bershady indices, Gini, Asymmetry, M20 moment of light, and Smoothness. We found that concentration indexes are less sensitive to both redshift and brightness in comparison to the other parameters. We also found that all parameters change significantly with AGN contribution. At z ∼ 0, up to a 10% of AGN contribution the morphological classification will not be significantly affect, but for ⩾ 25% of AGN contribution late-type spirals follow the range of parameters of elliptical galaxies and can therefore be misclassified early types.