This paper explores the role of internal habit formation in an overlapping generations economy. If agent in the old period is concerned with his past consumption level in the young period, he will be highly motivated to increase his saving. As a result, high saving increases the balanced-growth rate and with the intensity of the habit persistence becomes higher, the promoting effect on balanced-growth rate becomes stronger. On the other hand, this paper also explores the role of non-interest-bearing asset, fiat money, with or without internal habit formation in our model. We show whether with internal habit formation or not, money will decrease the balanced-growth rate. In order to promote balanced-growth rate, we suggest increasing the monetary growth rate in order to increase the amounts of young people’s lump-sum transfers. We also find that the expansive monetary policy will lower the crowding out effect of capital.