The admission, which raises questions about cyber security at the Fed, follows a claim that hackers linked to the activist group Anonymous had struck the Fed on Sunday, accessing personal information of more than 4,000 US bank executives, which it published on the Web.
"The Federal Reserve system is aware that information was obtained by exploiting a temporary vulnerability in a website vendor product," a Fed spokeswoman said.
"Exposure was fixed shortly after discovery and is no longer an issue. This incident did not affect critical operations of the Federal Reserve system," the spokeswoman said, adding that all individuals effected by the breach had been contacted.
Technology news site ZDNet separately reported that Anonymous appeared to have published information allegedly containing the login information, credentials, internet protocol addresses and contact information of more than 4,000 US bankers on Sunday night.
The claim was made via Twitter over an account registered to OpLastResort, which is linked to Anonymous, a loosely organised group of hacker activists who have claimed responsibility for scores of attacks on government and corporate sites over the past several years.
OpLastResort is a campaign that some hackers linked to Anonymous have started to protest government prosecution of computer prodigy Aaron Swartz, who committed suicide on January 11.
The Fed declined to identify which website had been hacked. But information that it provided to bankers indicated that the site, which was not public, was a contact database for banks to use during a natural disaster.
A copy of the message sent by the Fed to members of its Emergency Communication System (ECS), which was obtained by Reuters, warned that mailing address, business phone, mobile phone, business email, and fax numbers had been published.
"Some registrants also included optional information consisting of home phone and personal email. Despite claims to the contrary, passwords were not compromised," the Fed said.
The central bank separately confirmed the authenticity of the message to ECS members.
The website's purpose is to allow bank executives to update the Fed if their operations have been flooded or otherwise damaged in a storm or other disaster. That helps the Fed to assess the overall impact of the event on the banking system.
Hackers identifying themselves as Anonymous infiltrated the US Sentencing Commission website late last month to protest the government's treatment of the Swartz case.
Swartz was charged with using the Massachusetts Institute of Technology's computer networks to steal more than 4 million articles from JSTOR, an online archive and journal distribution service. He faced a maximum sentence of 31 years if convicted.
Cyber-security specialists said that any organisation's computer systems could be breached, and that it was up to an organisation like the Fed to prioritise its security needs, in order to protect its most sensitive information from attack.
"Every system is going to have some vulnerability to it. You cannot set up a system that will survive all possible attacks," said Mark Rasch, director of Privacy and security consulting at CSC and a former federal cyber crimes prosecutor.
"You have to defend against every possible vulnerability and the attackers only have to find one way in," he said.