The film is scheduled for a fall 2015 theatrical release.
"We are incredibly excited to begin production on The Hateful Eight, as we know this picture will be as innovative, brash and, of course, fun, as all Quentin projects prior," TWC Co-Chairmen Bob and Harvey Weinstein said in a joint statement.
"There is, quite simply, no other filmmaker like him, and we are as proud as ever to continue this partnership that began over 20 years ago."
The Weinsteins collaborated with Tarantino on Reservoir Dogs, Pulp Fiction, Jackie Brown, Four Rooms and the two-part Kill Bill franchise through their Miramax production company, and Inglourious Basterds and Django Unchained via TWC.
Tarantino briefly shelved The Hateful Eight after a draft of the script was leaked online without his permission. He later reworked the screenplay and said he planned to shoot it as his next project.