One of the rapes allegedly took place at a hotel in Beverly Hills sometime between September 2004 and September 2005. In the other case, Weinstein is accused of raping a woman on two occasions, in 2009 and 2010.
An indictment has already been filed against Harvey Weinstein in Los Angeles, who is awaiting trial.
This applies to three other victims and if Weinstein is convicted of these and the new charges, he can be sentenced to a total of 140 years in prison.
Harvey Weinstein was sentenced earlier this year to 23 years in prison for rape and sexual abuse of two women.
He is serving a sentence in a Buffalo prison in New York State.