In this paper it is shown that the well-publicized claim about the Special Relativity Theory, which states that it is not possible, using only arguments contained within the theory, to detect an absolute motion. This is one of the fundamental conclusions of the theory and it is usually considered in connection with the so called Clock Paradox or the Twins’ Paradox. There have been many papers published on this topic with the various proposed resolutions, however, the controversy related to these paradoxes continues to this day. This paper will clearly show that the resolution of the Clock Paradox is related to the clock synchronization procedure and that by introducing an absolute reference frame the paradox can be simply resolved. In addition it will be shown that it is possible to detect the absolute motion of particular reference frames relative to this absolute reference frame.