An investigation on the possible dynamical models of the core galaxy NGC 1399 is performed. Because early-type galaxies are likely to be formed through merging events, remnant rings are considered in the modeling process. A numerical survey over three parameters is employed to obtain the best-fit models that are completely consistent with observations. It is found that the inner slope of dark matter profile is a cuspy one for this core galaxy. The existence of remnant rings in best-fit models indicates a merging history. The remnant ring explains the flatten surface brightness, and thus could be the physical counterpart of the core structure of NGC 1399.