Peptide Nucleic Acids (PNAs) still represent a growing research area thanks to their potential applications in many fields of science from chemistry and biology to medicine. In these years, structural investigations by means of either experimental or computational techniques have proved to be very useful for the understanding of the structural organization and the binding properties of PNA. In this context, we here report an all-atoms Molecular Dynamics (MD) study of a PNA-PNA duplex and a PNA-DNA hetero-duplex with the well known GROMACS simulation package, by using new force field parameters properly derived for PNA molecules. The good agreement of our results with the crystallographic and NMR data, available for both the systems under investigation, confirms the validity of our approach. Moreover, our simulations reveal new interesting features related to the conformational-dynamic behavior of the studied systems, thus demonstrating the ability of MD simulations to gain insights into the dynamic properties of biologically relevant systems. This force field parametrization represents a good starting point for the implementation of a computational platform, based on the GROMACS package, useful for the rational design of modified PNA molecules with improved conformational features for selective binding toward DNA or RNA.