"We as the Church should be getting this right," Andy Savage said in a statement announcing that he is leaving the ministry for now.
The staff shakeup comes as Vice faces scrutiny over allegations of sexual harassment and other inappropriate behavior at the company.
An Immigration and Customs Enforcement spokesman quit and accused top Trump administration officials of releasing "misleading facts" over recent raids.
Concern rippled through Wall Street on Wednesday as investors absorbed the news that Trump's top economic adviser, Gary Cohn, is stepping down.
National Economic Council Director Gary Cohn resigned Tuesday.
Nashville's embattled mayor Megan Berry has agreed to resign as part of a plea deal on a felony theft charge, about a month after she admitted to an extramarital affair with her bodyguard.
Hope Hicks, President Donald Trump's longest-serving aide, announced her resignation on Wednesday as the White House communications director.
U.S. Olympic Committee CEO Scott Blackmun is resigning amid criticism over the Larry Nassar sex-abuse scandal.
A second White House staffer resigned in the wake of allegations of physical and emotional abuse toward an ex-wife on Friday.
Ed Hannigan, the company's head of sales, resigned on Tuesday. His departure follows numerous senior journalists who cut ties after allegations of fraud, a raid by the Manhattan district attorney's office and the firing of top editors at the publication who had been investigating the company.