During the announcement, Greitens again said that he did not break any laws.
Greitens announced Tuesday he would resign as governor on Friday.
Last week, Greitens released an ad blaming his travails on "fake news" (after a tabloid paid a source for details about Greitens' affair), George Soros (for donating to the St. Louis prosecutor pursuing charges against him), and local Democratic leaders (who, along with Missouri Republican leaders, have been calling for his resignation since spring).
Greitens, 44, was in the middle of a successful election campaign built on a platform of family values, but his time in office has been derailed by reports of his affair with a hairdresser, which he has admitted.
Greitens then took a photo of her, she said, before telling her: "You're not going to mention my name".
Greitens is the first Missouri governor to resign since 1857.
The first report focused on allegations raised with the invasion of privacy charge.
"Governor Greitens has done the right thing today", Hawley said in a statement. Mike Parson is the current lieutenant governor in the Show-Me-State.
The Republican had been embroiled in a sexual misconduct scandal and an investigation into campaign finance violations.
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Since May 18, the Republican-controlled Missouri legislature has been considering potential articles of impeachment against the governor in a special session.
"Let there be no doubt, I condemn Eric Greitens' behavior".
The agreement settles a felony charge brought by Gardner based on evidence uncovered by the office of Missouri's Republican Attorney General Josh Hawley, who essentially accused Greitens of electronic theft for his use of a donor list belonging to a veterans charity he founded.
"He fits the classic profile of a get-along, go-along elected official who is not full of himself and who regards the job as more important than the person in the job", Jones says.
On another occasion, Greitens slapped her in the face and called her a whore, she said.
In wrapping up his statement, he said: "The time has come to take care of those who have been wounded and to care for those who need us most".
"There is frankly, a lot of relief that the Greitens debacle is behind us", strategist Keller continued.
Most recently a state House investigative committee has been attempting to collect information about another nonprofit organization with close ties to Greitens.
She also claims Greitens coerced her into giving oral sex, and at a second sexual encounter, smacked her and shoved her to the floor.
Greitens denies the allegations. His resignation is effective June 1.