Three fundamental factors that determine the rate of growth of a nation are efforts, capital and knowledge. Among these, increasing capital formation has been considered as the most important factor in forecasting economic growth especially of the underdeveloped economies. To balance the requirement for over all developmental and to cater the apatite of expanding economies, financial institutions and capital markets in India and abroad emerged to mitigate the chronic problem of inadequacy of long term funds. The past decade in many ways has witnessed tremendous market sentiment in India. It has grown radically a battery of financial institutions stock exchanges and other intermediaries at the country and state level came into existence, amount raised from the market, the number of listed stocks, market capitalization, trading volumes and turnover on stock exchanges, and investor population. Despite the expansion of the securities market and reformatory measures taken by the GOI very small percentage of household savings are chanalized into the securities market. This indicates a lack of awareness and lingering confidence of the investors in the securities market. Primary objective of investing reserves in securities by the investors is to maximize earnings and to keep funds liquid and safe. The astute investment policy involves setting out investment objective, reviving investment needs of the investors, relevant policy guidelines with respect to size of the investment portfolio, approach of investment portfolio, effective portfolio diversification, maturity of the investment trading in securities, switching etc. Constructed portfolios should be revisited time and again in the light of external and internal developments and desired changes should be made in order to achieve optimum results. Thus, the present study tried to asses the applicability of Sharpe's single Index Model in Indian security market and to analyze construction of optimal portfolios with minimum and maximum return. By using Treynor Measure, Sharpe Measure, Jensen Measure, Fama's Measure, constructed portfolio which can work in Indian Security Market optimally. For the study purpose past 4 four years daily base data has been taken of renowned one benchmark 30 stocks BSE sensitive Index containing different Indian stocks. Considered input values for the model are the security returns, unsystematic variance of security return, beta values of securities and market variance. [ABSTRACT FROM AUTHOR]