Ms Heard said in court on Friday that Mr Depp threw her mobile phone at her during a fight on Saturday.
The judge also said Mr Depp should not try to contact Ms Heard.
On Monday, she filed for divorce from the Pirates of the Caribbean actor after 15 months of marriage, citing irreconcilable differences.
Ms Heard brought a photograph of herself with a bruised cheek and eye to the Los Angeles Superior Court.
"I live in fear that Johnny will return to (our house) unannounced to terrorise me, physically and emotionally,'' Ms Heard wrote in a sworn declaration.
