The previous FDA-approved label said that "seizure and confusion" had been seen in some patients.
Tamiflu is made by the Swiss pharmaceutical company Roche Holding AG. Terence Hurley, a Roche spokesman, said there was no evidence that the drug caused the symptoms.
Roche and the FDA said that severe cases of influenza can cause abnormal behaviour like that detailed in the updated label. Stopping a patient's treatment with Tamiflu while they still have the virus could actually harm them, the FDA said.
But the number and nature of the new cases - along with comments from doctors who believed that the behaviour was associated with the drug - meant that the agency was unable to rule out Tamiflu as the cause, the FDA said.
More Tamiflu is used in Japan than in any other country, with more than 30 million prescriptions since 2001.
Health officials have been sensitive about taking any action that might discourage people from taking Tamiflu, since the drug could play an important role in an outbreak of bird flu. The drug does not prevent flu but can reduce the length and severity of its symptoms.
Previously, Roche has cited studies from the United States and Canada indicating that the death rate of influenza patients who took Tamiflu was far below those who did not.
Tamiflu is prescribed about two million times a year in the United States.