Hackett says she reported the incident to Amazon executives immediately.
The move came hours after The Hollywood Reporter posted an article detailing harassment allegations lodged by Isa Hackett, a producer of Amazon's critically acclaimed series "The Man in the High Castle".
In the wake of the Weinstein scandal, Hackett has now gone on the record with The Hollywood Reporter to reveal that Price allegedly made inappropriate remarks to her during San Diego Comic-Con.
The Amazon Studios president's departure comes amid renewed sexual harassment allegations and multiple signs that Amazon and others in the industry had withdrawn their support from the embattled executive.
Hackett says Price did not relent in the cab or once they arrived at the Amazon party.
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"I didn't want to distract or deflate the energies of all the people who are so invested in these shows, and all of that positivity", she told THR.
Ms. Hackett is a daughter of the late science fiction writer Philip K. Dick. The future is unclear for Mad Men creator Matthew Weiner's The Romanoffs and director David O. Russell's untitled drama, which were both to be co-financed by TWC.
A representative for attorney Lisa Bloom, who announced last week would no longer represent Weinstein this week, told the publication she would no longer represent Price.
Mr. Price has been with Amazon since 2004, and became the head of Amazon Studios three years ago. "I feel inspired by the other women who have been far braver than I am, who have come forward".
Actress Rose McGowan, who is one of Weinstein's accusers, tweeted at Amazon CEO Jeff Bezos on Thursday saying "I told the head of your studio that HW raped me". "Be the change you want to see in the world".
In its statement, Amazon says it's reviewing options for projects it has with the Weinstein company.