Shell Model Monte-Carlo Method (SMMC) has been used in the recent years for nuclear level density (NLD) calculations. This method is not only able to calculate NLD as a function of energy, spin and isospin but also as a function of parity although the calculations are time consuming and complicated. In the current study, we used a new method for the calculation of relative even and odd parity levels in which nucleons were considered as statically independent particles. Using this method for 58Fe revealed that the NLDs of even and odd parities for the even-even nuclei are not equal at low energy levels. Therefore this method allows description of transformation from low excitation energies where there is only a single parity to high excitation energies where the probabilities for the two parities are the same. Using our method for 56Fe and 60Ni, was shown that the extracted results were comparable with those of the SMMC method. Then it convinced us that our method is correct and is applicable for other even-even nuclei such as 58Fe.