The singer's trial for allegedly brokering a drugs deal collapsed on Monday, after which she described to reporters how a year of her life had been "ruined".
Cameras have been following the former N-Dubz star since the story appeared in the Sun on Sunday last year.
The documentary - which will air on BBC Three - will also feature Tulisa talking to programme makers about her experience after the judge formally threw out the case.
BBC Three channel editor Sam Bickley said: "BBC Three has had exclusive access to Tulisa all the way through her ordeal and this hour long documentary will bring you her true story, as events unfolded."
After the case was thrown out of court, Tulisa issued a scathing broadside at undercover reporter Mazher Mahmood, who was the main prosecution witness, after a judge said there were "strong grounds" to believe he had lied on the witness stand and "had been manipulating the evidence".
The Sun on Sunday suspended the journalist known as the Fake Sheikh amid questions over whether he could now face a perjury investigation.
Tulisa, who had denied brokering a drugs deal, appeared on the steps of the court and called the case "a horrific and disgusting entrapment by Mazher Mahmood and the Sun on Sunday newspaper".
On Monday evening the star expressed her gratitude to her fans, writing on her Twitter page: "Thank you to everyone for your amazing messages of support today."