The actress – who filed for divorce from the star earlier this week citing irreconcilable differences – is said to have made the claim in a court in Los Angeles today.
In a picture submitted to the court and published by showbiz website TMZ , Amber can be seen with bruises around her eyes.
It is reported Amber has filed for a temporary restraining order
TMZ says that Heard is claiming Depp – who was represented by his lawyer Laura Wasser – was violent repeatedly during their marriage including on Saturday night.
Amber, 30, filed for divorce from the Hollywood star, 52, two days later with the official separation date given as the day before.
It came just three days after the death of his mother Betty Sue Palmer, and 15 months after the couple tied the knot.
Depp has been approached for comment on these claims, but broke his silence on the split earlier today.
The couple confirmed their split this week
His representative said in a statement: “Given the brevity of this marriage and the most recent and tragic loss of his mother, Johnny will not respond to any of the salacious false stories, gossip, misinformation and lies about his personal life.
“Hopefully the dissolution of this short marriage will be resolved quickly.”
It comes after reports in The Sun that claim the Amber and Johnny’s “toxic” marriage broke down weeks ago following months of “blazing rows” .
Amber filed for divorce this week
It is said things came to a head last month shortly after they were forced to appear in an embarrassing apology video, after illegally bringing their dogs into Australia, which made them a global laughing stock.
“Johnny felt humiliated by the whole ordeal and believes Amber made him look like a fool,” a source told the paper.
“It just doesn’t fit with his serious image and he hated being mocked. The dogs are Amber’s so she should really have done the thorough checks.”