This thesis presents a solution to the problem of sound source localization. The target lies in getting the direction of a source by capturing its sound field with two omni-directional microphones. The solution allows the source to be either located at a fixed location or it can be in motion within a specified area. The sought direction is represented by the angle existing between a reference line and the line where the speaker stands. Considering that the sound signal reaches each microphone at different time instants, corresponding to propagation in different paths, it can be assumed that the captured signals in the two microphones have a time difference of arrival (TDOA). The solution proposed in this thesis first estimates this time difference, and then by using trigonometry, the desired angle is calculated.