In addressing the global problem of antimicrobial resistance, an emerging class of molecules called antimicrobial peptides (AMPs) are being widely studied. Their interactions with cell membranes are instrumental in their killing action, usually by forming pores or translocating to act on an internal target. Molecular dynamics (MD) simulations have played an essential role in understanding the atomistic mechanisms of such interactions. This review will highlight key findings from various MD studies, such as the formation of nanoaggregates and different types of pores. We will also discuss the role of selecting the membrane model composition, the level of detail in the simulation, and the choice of force field. It is evident in this review that our understanding of the interactions of AMPs and membranes has grown over the recent years through the help of MD simulations. Still, remaining concerns in MD studies of such systems must be addressed to gain more information.