Using the panel-data approach of Kónya (2006), which is based on SUR systems and Wald tests with country-specific bootstrap critical values, and two different (weekly and monthly) datasets covering respectively the periods from 7 June 2005 to 21October 2008, and from January 1996 to December 2007, we show strong statistical evidence that the causal relationship is consistently bi-directional for Saudi Arabia. In the other GCC countries, stock market price changes do not Granger cause oil price changes, whereas oil price shocks Granger cause stock price changes. Therefore, investors and policy makers in the GCC stock markets should keep an eye.