This paper presents a review study on state of the art techniques used for electromagnetic transient studies on grounding systems. First, an introduction about the subject is presented, emphasizing the importance of grounding in population safety and equipments protection. Following, the Circuit Approach, Transmission Line Approach, Electromagnetic Field Approach and Hybrid Approach are reported. The most currently used numerical methodologies for electromagnetic compatibility (EMC) problems solution, as Finite Difference Time Domain Method (FDTD), Moments Method (MoM), Finite Element Method (FEM) and Transmission Line Modeling Methods (TLM) are also discussed with focus in its characteristics, advantages and disadvantages. Finally, simulation results using TLM are presented emphasizing the easiness of implementation of this method.