By Devlin Barrett and Emily Glazer 

The Federal Bureau of Investigation is probing a possible computer hacking attack on J.P. Morgan Chase & Co, in what people familiar with the probe described as a significant breach of corporate computer security.

The extent of the hacking--when it began, what it affected, and the potential costs for the company--weren't immediately clear. The company and federal cyber investigators are in discussions as they pursue the apparent attack on the bank's computers.

"Companies of our size unfortunately experience cyberattacks nearly every day," said Trish Wexler, a J.P. Morgan spokeswoman, in a statement. "We have multiple, layers of defense to counteract any threats and constantly monitor fraud levels."

The attack appears to have been caused by malicious computer code, known as malware, according to a person familiar with the matter. Malicious software, known as malware, was the method used by hackers who broke into Target Corp.'s credit-card system last year and stole sensitive account information from millions of the store's customers. Malware has also been cited as a potential cause of a recent breach at supermarket chain Supervalu Inc., according to people familiar with that incident.

Write to Devlin Barrett at devlin.barrett@wsj.com and Emily Glazer at emily.glazer@wsj.com

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