The light rail transits, in theses days, are planed to be introduced in Korea. However, there are more and more problems regarding the noise and vibration from the trackway. In order to reduced the vibration and noise, various method have been applied. Among those methods, it is that one of the most effective ways is to apply the floating mat underneath the slab track. In this stud, a numerical modeling to calculate the effect of the floating mat is to be used as well as the performance of the floating track.