Three federal agencies are investigating how Yale University manages the millions of dollars it receives in federal research grants, the university announced in a statement on its Web site on Monday.

The institution received subpoenas last week from U.S. Department of Health and Human Services, the Department of Defense, and the National Science Foundation seeking documents relating to “the allocation of research expenses, the reporting of faculty effort devoted to grants, and numerous other matters relating to grant administration,” the statement said.

Yale has been working to improve its grant accounting practices, the statement said, adding that the university has not been charged with any violations.

“Yale will cooperate fully with these government investigations,” the university’s president, Richard C. Levin, said in an e-mail message to faculty and staff members that was quoted in the student-run newspaper, The Yale Daily News. “I expect all members of the faculty and staff to give a top priority to any requests from the university counsel and others assisting them for information or documents.”

The university received about $350-million in federal funds last year, the newspaper said.