Cheryl Boone Isaacs said that the relationship with the accountancy firm PriceWaterhouseCoopers (PWC) was also under review.
Brian Cullinan and Martha Ruiz were responsible for Sunday's mishap.
La La Land was mistakenly named best picture instead of winner Moonlight.
The team behind La La Land were in the middle of their speeches before the real winner was revealed.
It has been described as the biggest mistake in 89 years of Academy Awards history.
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Mr Cullinan mistakenly handed the wrong envelope to the two presenters.
He gave Warren Beatty and Faye Dunaway the back-up envelope for best actress in a leading role - rather than the envelope which contained the name of the winner for the best film.
PriceWaterhouseCoopers, which counts the votes and organises the envelopes, has apologised for the mix-up.
Mr Cullinan tweeted a picture of best actress winner Emma Stone minutes before handing the presenters the wrong envelope, and Ms Boone Isaacs blamed "distraction" for the error.