The gift was made as part of the museum's $300 million capital campaign and is the largest commitment received to date.
In recognition of this gift, the Academy of Motion Picture Arts and Sciences said it will name the museum's theater The David Geffen Theater.
"David's support of this project is transformative," Academy Museum Campaign Chair Bob Iger said in a statement Tuesday. "It takes a large and diverse group of supporters to build a project on the scale of the Academy Museum. David joins an esteemed group of individuals, companies, and foundations who are leading the charge."
"I'm pleased to support the Academy Museum of Motion Pictures," Geffen said. "This is an exciting opportunity to be part of the creation of an iconic architectural space and cultural institution that will combine the best of the old and the new and provide a permanent public home for the Academy's rich tradition of honoring the shining stars of the cinematic arts."