This study attempts to perform the statistical tests for the comovement of the stock prices between Korea and U.S. by using the weekly data instead of the usual daily data. The restoring pattern, from the short-run disequilibrium to the long-run equilibrium point, is also carefully estimated if the long-run relationships exist between the stock prices. The cointegrating relations between the stock prices appear to begin to hold during the period of the financial crisis. It is found to be consistently estimated that the equilibrium error is slowly eliminated till the end of the financial crisis, while quickly removed after the period.