Brown also found improper recruiting among the women's volleyball and men's basketball and soccer teams, but only Brown's football team will be ineligible next year.
The National Collegiate Athletic Association investigated Brown this spring but did not impose any further penalties.
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Interim Brown President Sheila E. Blumstein said in a press release that the university accepts the Ivy League's punishment.
"Brown has always championed the principles of the Ivy League, and we recognize our responsibility to affirm these principles as we move forward," Blumstein said.
Brown and Harvard athletic officials refused to comment on the decision.