This study discusses the correlation and volatility of the Nikkei index, Dow Jones and FTSE in the year 2006 - June 2010 by using the GARCH model is GARCH (1,1) for both contemporaneous and dynamic volatility volatility while for correlation using the correlation Pearson. GARCH model will be conducted using three different methods namely Maximum Likelihood method, Normal (Gaussian) distribution with Marquadt optimization, the method of Maximum Likelihood Normal (Gaussian) using optimization Berndt-Hall-Hall-Hausman (BHHH) and Maximum Likelihood methods Generalized Error Distribution ( GED) with optimization Berndt-Hall- Hall-Hausman BHHH, and dividing the period into three parts, namely the period of Growth, Crisis and Recovery