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It comes as the pair's bitter legal dispute rages on in court.
The pair started dating in 2012 and married in 2015, before the actress Amber Heard filed for divorce a year later. In May 2016, she sought a restraining order from her ex husband, citing "excessive emotional, verbal and physical abuse" from him as well as "angry, hostile, humiliating and threatening assaults" - all of which he denies.
The restraining order was granted and the pair later separated.
The documentary will explore both presented perspectives of the couple, speaking to lawyers on each side. It will delve into how "he felt he was married to a Machiavellian liar who would stop at nothing to protect her image" as well as her view that she had "married the man of her dreams only to see him turn into a violent drug-fuelled monster."
The actress also provided evidence against Depp in court last year where he lost a libel case against The Sun publisher after they published an article calling him a "wife-beater".
Despite losing this first case, he has been assured by a judge's ruling that this result will not impact allowing a second libel case against Amber Heard.
There's currently no air date announced but a UK audience will be able to watch Discovery+ by signing up to Discovery+ on their website or via the app which is available on numerous platforms and devices including Amazon, Google, Samsung and Apple.
Nick Hornby, co-CEO at Optomen, said in a statement: "Through the tapes, home videos and text messages shown in court, these films give viewers a rare and important insight into a marriage that went tragically wrong, and to better understand the hugely important issue of domestic violence."
Charlotte Reid, VP commissioning for entertainment at Discovery+, added: "The story of what happened between Johnny and Amber continues to be hugely divisive, between fans and the public at large.
"We set out to make a documentary that would explore the story from each of their perspectives, so the viewer can go beyond the headlines, understand who they are, and decide who they should believe in this complex human story."
She added: "We think it’s a compellingly contemporary story on truth and lies that we hope will open up a conversation with our viewers on Discovery Plus."
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