The paper reaches the impact of the oil crisis on stock market returns from Major Oil Importing - Exporting Markets and examines the utility of cross oil–stock market linkages in portfolio risk management. A VAR- BEKK- GARCH approach was employed to model the above hypothesis based on daily data from January 2000 to December 2017 from four selected countries: Saudi Arabia and Russia, known as the largest oil-exporting countries in the world and two oil-importing countries which are the United States and China. Results indicated that stock returns and the volatility spillover from crude oil return to oil-importing and oil-exporting stock market returns are significant in our data sample. Besides, after the petroleum crisis in 2014, this level of integration is increased with time for the dynamics correlations and however becomes less strong for the conditional variance.
