Ms Heard said she had to justify to Mr Depp why she accepted film roles and said the situation was “much worse” if there were sex scenes or kissing.
She has alleged that Mr Depp would “taunt” her and had nicknames for all of her male co-stars that he considered a “sexual threat”.
In a witness statement filed as part of Mr Depp’s High Court libel case against The Sun over allegations of domestic violence, Ms Heard said Mr Depp “demanded” to know about romantic scenes in her films and “complained about how people can watch me ‘get f***ed on camera’.”
She said: “He would insist every male actor was trying to sleep with me and/or that I had had an affair with them, that he’d spoken to people and knew all about it.
“He would try and catch me out by taking my phone or telling me someone had told him I was having an affair and act as if he had information proving it – when I really hadn’t.
“He accused me of having affairs with each of my co-stars, movie after movie: Eddie Redmayne, James Franco, Jim Sturgess, Kevin Costner, Liam Hemsworth, Billy-Bob Thornton, Channing Tatum; even women co-stars like Kelly Garner.
“He also accused me of having affairs with stars I auditioned with, like Leonardo DiCaprio. He would taunt me about it – especially when he was drunk or high – and had derogatory nicknames for every one of my male co-stars he considered a sexual threat.
“For example, Leonardo DiCaprio was ‘pumpkin-head’, Channing Tatum was ‘potato-head’ and ‘Jim Turd Sturgess’.”
Ms Heard, 34, said Mr Depp, 57, would even get himself copies of the scripts she was looking at, without asking her, in order to “review them for himself”.
She said: “His rules got tighter every year we were together about what nudity or scenes were acceptable, wanting descriptions of every detail, every aspect of scenes and how they were covered, placing increasing restrictions on what I could and couldn’t do.”
Ms Heard said she found herself turning down work, and said her salary fell every year she was with him.
She said he was “very jealous” and would obsess about who she had slept with and been out with before him.
Ms Heard said: “He spoke possessively of me as ‘my woman’ and made comments that he wished he had found me before I had slept with anyone else, joking he would have locked me away at 14.
“He would obsess about how I dressed. If I wore a low-cut dress, then he would say things like ‘my girl is not gonna dress like a whore’.
“Over time, I stopped wearing revealing dresses for red carpet events: it just wasn’t worth the verbal and psychological abuse.
“He demeaned me anytime I tried to wear anything that could be seen as sexy, calling me a ‘whore’, ‘slut’, ‘fame-hungry’ and ‘an attention whore’, but it got worse over time.
“He started saying things like ‘well I’m going to have to watch you get raped’ and ‘I hope you get railed by a bunch of f***ing fellas’.
“Sometimes he used racial epithets about the men I would be – or deserved to be – assaulted by, saying things like ‘a slimy Mexican’ or ‘a f***ing gang of big black mother f***ers are going to f*** you and get their big c*** in you’.”
Ms Heard said Mr Depp would also call her “fat ass”, and that sometimes she would respond by calling him “old man” or “limp dick”.
She said Mr Depp once took her car, a Mustang, without asking her, explaining that he was going to get it fixed for her as a gift.
“Once it was gone, he insisted that his drivers and handlers take me everywhere,” she said, adding that she did not have a car for the next three-and-a-half years.
She said: “Over time it became obvious that this was one of the ways in which he would know about and control where I was.
“The same happened with security guards. He insisted on me having personal security, over my protests, and sent his own security guards with me, who would report back to him about where I was at all times.”