Corruption is almost exist in all human societies throughout the history. Any continuation of corruption in different ages made most of researchers and policy makers to consider corruption as an inevitable part of human being challenges (Mukum, 2008).Administrative corruption is common in most developed and/or under –developed countries.In other words, there is no country in the world that has not experienced a form administrative corruption. In fact, where there is a government, there will be administrative corruption as well. For this purpose, the present paper will firstly explain and define corruption. Then we will concert relation between administrative corruption and economic growth in Low Income and medium Income countries by using panel data regression models.According to the results, it was revealed that there is a converse and meaningful relation between corruption and economic growth.Furthermore, there is a direct & meaningful relation between capital stock and labor force with economic growth in Low Income and medium Income Countries.