Pore pressure prediction is a critical issue for well planning in the oil and gas industry. It is even more critical for offshore environments due to high risks involved in drilling operation. Blowout is the main risk regarding pore pressure since it could cause rig explosion, and oil spills to environment. Such problems can lead a successful company to a very weak position. Therefore, since the fifties, several methodologies for pore pressure prediction have been developed for the industry. Most of them just consider the mechanism of compaction as the main cause of overpressure, ignoring other factors such as rock diagenesis, boundary conditions for fluid flow, and pressure dissipation during the geologic history. That is why the main objective of this work is improving current pore pressure studies, including an alternative methodology (developed by the Norway Petroleum Research Institute - SINTEF), from a scale of basin modeling. That methodology allows analyzing the pressure phenomenon like a dynamic system, where the interaction of the overpressure and the pressure dissipation mechanisms are considered during the geological history. In this paper, main characteristics of overpressure mechanisms are briefly described as well as common methodologies used in the Oil and Gas industry for pressure prediction. Furthermore, the most important hypothesis for basing modeling methodology is described. SEMIMT software was used to predict pore pressure in Guajira Basin, an offshore region located in north Colombia. Results of basin modeling methodology allowed defining four overpressure zones which fit adequately with wells data. Besides, that result was compared with a conventional methodology. Finally, a discussion about the results is presented, highlighting the main advantages and disadvantages observed in this research.