As the capital market of our country goes further, and the financial market fluctutes more severely, more and more investors will focus on the correlation. How to hedge correlation risk has become an important issue to be solved. In this paper, on the basis of price process with jump and the Greek letter hedge principles of options, the correlation random process is introduced and a hedging strategy of the correlation risk is built in the incomplete market with jump, which sells a share of stock index put option and buy several shares of individual stock put options and several shares of the underlying stocks at the same time, to keep both the asset price volatility risk and the jump risk neutral in the portfolio. Thus, the investor can hedge the correlation risk by selling the correlation risk premium in the portfolio. The daily data of Hong Kong Hang Seng index options is selected and its constituents from March 2007 to March 2013 as the data of empirical analysis. The empirical result shows that the hedging strategy can hedge the correlation risk between individual stocks in the investment portfolio and can get positive yield in most cases. The research in this paper has important reference value building advance correlation risk hedging strategy to avoid the influence of extreme events in financial market.