Asif Kapadia is teaming up with Universal Music and James Gay-Rees, who previously produced Exit Through the Gift Shop, for the picture.
The film will feature unseen archive footage as it recounts the 'Rehab' singer's career and life.
"This is an incredibly modern, emotional and relevant film that has the power to capture the zeitgeist and shine a light on the world we live in, in a way that very few films can," said Kapadia and Gay-Rees.
"Amy was a once-in-a-generation talent who captured everyone's attention; she wrote and sung from the heart and everyone fell under her spell.
"But tragically Amy seemed to fall apart under the relentless media attention, her troubled relationships, her global success and precarious lifestyle.
"As a society we celebrated her huge success but then we were quick to judge her failings when it suited us."
Focus Features International is planning to shop the documentary to foreign buyers at the upcoming Cannes Film Market.
Winehouse's track 'Back to Black' was recently covered by Beyoncé for the soundtrack to The Great Gatsby.
Her father Mitch Winehouse criticised the version, saying: "I don't think she brings anything to it. I wasn't asked for my permission if they could record it.
"They have got to pay for the privilege, which is what they are doing. I can't tell you how much it is but it's a lot of money."
Watch Asif Kapadia discuss Senna with Digital Spy below: