WASHINGTON — President George W. Bush agreed to ask Congress on Monday to release the remaining $350 billion in financial sector rescue funds after receiving a request to do so from President-elect Barack Obama, the White House said.

Congress would have 15 days to reject the request.

The request would give Obama not only the opportunity to get access to the money, but also to change its goals and conditions. The Bush administration's handling of the first $350 billion has come under widespread criticism in Congress and from watchdog organizations.

Obama had signaled that he was eager to use the money to help reduce the number of mortgage foreclosures and that he wanted to place greater restrictions on institutions that receive the funds. The move comes as Democrats in the House of Representatives are preparing to act on legislation that had some of the same intentions.