The purpose of the study is to identify the statistical distribution that is followed by the Indices returns of G7 countries.Canada is one of the members of the G7 countries but the data is insufficient and so it is not considered for the study. The closing values of indices were collected for selected countries from July 2003 to February 2013. The general assumption is that the stock returns are normally distributed. Using a statistical software 11 unbounded distributions was fitted for all the selected indices. The results show the returns follow different distributions that vary between countries.