Oil rim reservoirs are often troublesome to produce commercially as a result of the adverse effect of coning and cusping/cresting. In this study, deviated and horizontal wells were employed to determine the optimal well type to be drilled in the "GISO" oil rim reservoir in order to attain optimum oil recovery while reducing uneccessary cost. The GISO oil rim reservoir considered in this study had a thickness of 8ft with grid dimensions of 91×74×20 in the i, j, and k coordinates respectively, and contained a dynamic reservoir oil volume of 9.37MMSTB. Results obtained from simulation revealed that there was not enough oil recovered from the subject oil rim reservoir, owing to the fact that that the reservoir had a very small oil column thickness and this led to the early encroachment of water into the oil column. Three horizontal wells and one deviated well were simulated in the oil rim in order to determine the preferred well type for optimum hydrocarbon recovery for a period of 20 years. The four cases were simulated with a constant production rate of 2000STB/D. Well H1, a horizontal well with lateral length of 272ft recovered 840MSTB, while well H4, a deviated well with a deviated well case with an inclination angle of 84.20° from the GOC and lateral length of 242ft recovered 830MSTB.