The movie mogul is set to be arrested after a months-long investigation, the New York Times reported, citing information from two unidentified law enforcement officials.
Mr Weinstein has always denied all allegations on non-consensual sex by his accusers.
Dozens of women have made claims against him.
The New York Times reports Weinstein will face charges in relation to at least one accuser, Lucia Evans, an actress who says he forced her to give him oral sex in 2004.
The city’s police department and the Manhattan district attorney’s office declined to confirm the report.
Benjamin Brafman, a lawyer for Weinstein, also declined to comment.
More from Entertainment
Morgan Freeman sorry after harassment allegations
Poldark actress Eleanor Tomlinson ‘pretty upset’ to be paid less than co-star Aidan Turner
Liam Gallagher meets daughter Molly Moorish, 21, for first time in 19 years
Prince William joins Rio Ferdinand and Liam Payne in contention for dad of the year award
How Michael Jackson pulled off Smooth Criminal tilt revealed by scientists
Sophie Ellis-Bextor visits children left in Ukraine orphanage due to bad eyesight
Weinstein, 66, has been investigated by police in London, Los Angeles and New York but has so far not been charged.