The film, starring Konkona SenSharma, Ratna Pathak Shah, Aahana Kumra and Plabita Borthakur, explores women's sexuality.
Konkona took to Twitter to share the news, writing, "So pleased that 'Lipstick...' will release in the US!! Please watch."
The film had won several prizes, including the Spirit of Asia Award at the Tokyo International Film Festival, the Oxfam Award for the best film on gender equality at the Mumbai Film Festival.
Central Board of Film Certification (CBFC) had earlier refused certification to the film, saying that it was "lady oriented" and had "sexual scenes, abusive words".