This paper studies the long-term and short-term price discovery function of FTSE/Xinhua China A50 Index Futures and CSI 300 index, the Index of Shanghai Stock Exchange through co-integration test, error correction model and the impulse response function. Empirical results show that FTSE/Xinhua China A50 Index Futures is price discovery vehicle for A-share market to some extent. Furthermore, this paper uses Granger test and BEKK model to explore the volatility spillovers effects of FTSE/Xinhua A50 Index Futures. Empirical results show that the FTSE Xinhua China A50 Index Futures is not a source of instability in A-share market.