As attorney general, he is pursuing legal action against Greitens for potential campaign-law violations. He calls the Republican governor's conduct "impeachable" in his judgment.
The woman testified that she confronted him later that day about the photo and he responded: "You have to understand, I'm running for office, and people will get me, and I have to have some sort of thing to protect myself".
The woman, whose name was concealed by the committee, said under oath that the governor staged and took a photo of her bound and blindfolded, and then threatened to release the photo, were she to disclose their encounter.
Hawley is a top recruit running in the Republican primary to challenge Democratic Sen.
McCaskill also issued a statement late Wednesday calling for the governor to resign.
St. Louis Circuit Judge Rex Burlison made no immediate ruling on the request to dismiss the case.
Republican House Speaker Todd Richardson called the woman's testimony "beyond disturbing" and defended the integrity of the investigation. He is charged with felony invasion of privacy in connection with an admitted extramarital affair in 2015. He's set to go on trial next month.
Greitens said Wednesday he never slapped the woman, and he once again insisted he never blackmailed her.
Greitens, 44, has pushed back against the claims, saying he won't resign because he's supposedly a target of a "political witch hunt" - a term frequently used by Trump, who's himself accused of sexual misconduct by almost two dozen women.
The bipartisan report, released on Wednesday, details graphic allegations against the governor. Henke is a former state representative from Troy.
A message seeking comment from the attorney for the woman was not immediately returned.
During a briefing with reporters on Friday, White House spokeswoman Sarah Sanders was asked about a letter from three Republican Missouri state senators to Trump, urging the president to ask Greitens to resign. The defense showed a picture of the investigator in court, sitting next to Gardner, taking notes. Greitens has said he'll continue to serve and that allegations of violence or sexual assault are false.
Although the House adjourned for the week a day early after the report's release, the Senate was in session Thursday where its office holders lined up to offer their own options for dealing with what they perceive to be a defiant governor. On this new video, she says that when this story broke in the media, she asked her two friends if they ever remembered her talking about a slap, and they both said "No".
The special House investigatory committee is to make a recommendation after the regular session ends May 18 about whether Greitens should face impeachment proceedings to try to oust him.
"The House Investigative Committee's Report contains shocking, substantial, and corroborated evidence of wrongdoing by Governor Greitens", Hawley said in a statement.
Greitens' defense team announced that the St. Louis Circuit Attorney's office had turned over a videotaped interview of the woman with whom Greitens was having the affair an hour after the House report was released. The controversy that has engulfed him threatens to drag down the Republican Party in the state, in an already hard political climate.