We made progress towards developing a model for ionic surfactants that allows us to predict their micellization properties quantitatively. The strength of the model lies in its simplicity and generality, and it could be used to study different surfactants. The aggregation of surfactants in binary mixtures of water and an ionic surfactant was studied by Metropolis Monte Carlo simulation (MCS) in the canonical ensemble (NVT) on a 3-D lattice model. The lattice theory was changed in order to investigate the aggregation of ionic surfactant systems using the simulation technique. In the model contributions of both the short-range and long-range forces were considered. We determined the monomer concentration and plotted it against the total surfactant concentration. We observed two distinct regions of different slopes in the curve. At low concentrations, the curve follows a higher slope that corresponds to the single surfactant molecules in solution, there is a break in the curve, and a second straight line with a lower slope continues at higher concentrations. Thermodynamically this indicates that above a certain concentration surfactant molecules in the system will begin to form aggregates and that the concentration of free surfactants will remain roughly constant around the critical micelle concentration (CMC). It would also be of great interest to perform a systematic study on the effects of the various parameters on the micellization properties. The systems were quenched to low temperatures from the athermal state, and relaxed for an adequately long time. To avoid metastable states, the simulations for each condition were started at athermal conditions and the interaction energy was increased in small steps, after equilibrium was attained at each step, until the desired interaction energy was reached. It was found that the CMC decreased with an increase in surfactant chain length and increased with an enhancement in solvent dipole moment. It was also found that the CMC decreased as the counter-ion radius decreased.