Hackett (R), a producer on an Amazon series, claims that Amazon Studios chief Roy Price propositioned her using crudely suggestive language.
Price was put on leave last week and was not expected to return. An Amazon spokesman confirmed the resignation and had no additional comment, The Guardian reported late on Tuesday.
Price was suspended from Amazon on October 13. He was also a producer on "Man in the High Castle" and other Amazon shows like "Transparent".
His resignation comes days after Jeff Blackburn, the company's senior Vice-President of Business Development, sent a memo to employees saying the company does not tolerate harassment or abuse.
Price was also facing criticism for his close business ties with movie producer Harvey Weinstein, who is already facing a string of similar allegations by several actresses.
The senior Amazon executive had also been accused of ignoring actress Rose McGowan's claims that Weinstein raped her.
Meanwhile, thousands of Twitter users had earlier called for a boycott of the micro-blogging site after it temporarily suspended the account of McGowan who had tweeted about sexual assault and harassment in Hollywood.