The trade publication Variety and CBS News said the Academy immediately opened an investigation after receiving three harassment claims against John Bailey on Wednesday.
In response, the Academy issued a statement saying that it "treats any complaints confidentially to protect all parties."
The group's membership committee "reviews all complaints brought against Academy members according to our Standards of Conduct process, and after completing reviews, reports to the Board of Governors."
It added: "We will not comment further on such matters until the full review is completed."
In December, the Academy adopted a code of conduct for its members.
Bailey, 75, a cinematographer whose credits include "Groundhog Day" and "The Big Chill," was elected to a four-year term as head of the Academy in August.
Bailey's brief tenure has been marked by the birth of the #MeToo movement started by actress Alyssa Milano and which went global, highlighting accusations of sexual abuse.
Harvey Weinstein, whose studio Miramax was behind hits such as "Shakespeare In Love" and "Pulp Fiction," was expelled from the Academy in October following accusations of sexual harassment and abuse by dozens of women.
At a February lunch for this year's Oscar nominees, Bailey promised the Academy would adopt a "greater awareness and responsibility in balancing gender, race, ethnicity, and religion."
"The fossilized bedrock of many of Hollywood's worst abuses are being jackhammered into oblivion," he said.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)