The resignations also come amid unrest in the newsroom after a newsreader was rebuked for changing the phrase "pregnant people" to "women" during a live broadcast.
Money laundering under the Corruption, Drug Trafficking and Other Serious Crimes Act 1992 is punishable by up to 10 years in prison, a fine of up to S$500,000, or both.
Police are reportedly investigating claims that Andrew asked an officer in 2011 to dig up personal information about his accuser, Virginia Giuffre, 41.