Asked to explain what she meant by that, Heard told the court: "I was so in love with Johnny at that time".
"I regret I did that", said Heard, who also claimed that Depp often credited her for saving him by trying to get him clean and sober.
But Heard replied: "No, I don't know how to do that sort of thing".
She was then questioned by Depp's counsel, Eleanor Laws, on why she had never previously mentioned the allegation involving Moss, who went out with Depp in the 1990s. She has said that she feared for her life while at the rented property on Australia's Gold Coast. Read ahead to see Amber's full claims.
Depp, 57, gave evidence last week, denying all Heard's allegations of violence and abuse and saying she assaulted him.
Amber Heard told the court today that her father had a problem with alcohol all his live and was violent to her mother.
Heard said her father had been violent towards her mother throughout their marriage, and that she became concerned her mother would tell her father about Depp's violence towards her.
However, in other texts the same day, she told her mother that Depp had not hit her, that she was "ok physically", and that he was "raging in general" rather than being violent with her.
Asked why she had agreed to return with Depp to the same house in Australia a couple of months later, she said: "Johnny - the monster - almost killed me".
Ms Heard's sister continues to give evidence in the High Court in London.
She told the court: "He started picking them (bottles) up one by one and throwing them like grenades".
On the twelfth day of Mr Depp's blockbuster trial against The Sun newspaper, Ms Heard faced questioning over several allegations she has made against the actor about his violent conduct in the course of their relationship - all of which he denies.
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"I didn't want to do this, I did not want to expose this totality of what really happened to me", Heard said.
Mr Depp is suing the tabloid's publisher, News Group Newspapers (NGN), and its executive editor Dan Wootton over an April 2018 article which labelled him a "wife beater".
Heard replied: 'I have not had the liberty of time, space or energy to list every incident that's listed in these proceedings'.
Heard sent a text to her mother: "It's awful, Mum, I don't know what to do". I was so upset, but I think it broke something, "she said, according to the Evening Standard".
In his testimony, Depp said that he had been the one being mistreated by Heard and she had a history of being violent.
She told her mother that Mr Depp was having insane mood swings because he had spent more than a day drinking and taking drugs. "It just matters because I love you".
Ms Heard said it was the "first time I had been hit like that since I was a child", adding: "It didn't feel painful necessarily, it just felt like a pop".
The 34-year-old Hollywood star is now on her third day of giving evidence against Johnny in his libel trial against News Group Newspapers (NGN).
The court heard that Heard had texted her mother pleading for help. She said he blamed his actions on "a self-created third party" that he referred to as "the monster". The Sun, supported by Ms Heard, says the term was justified.
Heard also claimed she was left with "really bad" injuries on her scalp after Depp allegedly ripped her hair out.
Depp and Heard, who met on the set of the film based on Hunter S. Thompson's The Rum Diary, finalized their divorce early in 2017.