It directly contradicts statements from President Donald Trump who has insisted repeatedly there is no definitive evidence connecting Mohammed bin Salman with the crime.
But will the senators force Trump to drop his defence of the Saudi royal?
The resolution also criticises Saudi Arabia for the war in Yemen, the blockade of Qatar, and a crackdown on dissent in the Kingdom. It's a testing time for the US president.
Presenter: Martine Dennis | Guests: John Jones, former senior congressional advisor during President Obama's term; Sigurd Neubauer, a Middle East analyst with expertise in Gulf affairs; and Chris Garcia, former deputy director of the US Department of Commerce under President Trump