A Swiss court agreed Wednesday to release Roman Polanski on bail of 4.5 million Swiss francs ($4.5 million), persuaded that the large sum was enough to keep the Oscar-winning film director from fleeing the country while he awaits a ruling on whether he would be extradited to the U.S.

In granting Mr. Polanski's request, the Swiss Federal Criminal Court reversed a decision last month by the Swiss Justice Ministry to reject his offer to put up his ski chalet in the tony resort of Gstaad as a guarantee. At the time, the ministry said the lack of a cash guarantee might not keep Mr. Polanski from attempting to flee the country. The ministry now has 10 days to appeal the court's decision, but a spokesman said it would make a decision much sooner.