This study aims at the derivation of representative IUH considering geomorphological factors. Nash model has been combined with geomorphological IUH to estimate the parameters of representative IUH. For this purpose, total 18 storm events which have been recorded upstream parts of Sangye control point in Bocheong river watershed, one of the tributary of Keum river basin, have been analysed. The results show that n value is 3.17 and K value is 7.01. And the results also show that IUHs driven by the method of moments vary with each storm events significantly. As a result of this study the IUH could be median distribution which is representative IUH among each storm events. It is believed that this result considered geomorphological factors is more superior and physically meaningful comparing with the existing methods.