The 61-year-old said allegations made by Depp are false, reported tmz.com.
Johnny Depp and Amber Heard settle divorce case
Thornton said that he never socialised with The Danish Girl actor off set, apart from a cast dinner.
Speaking on their strictly professional, he said that he rarely spent time with her on the set as well and barely spoke to Depp either.
The two are sharing screenspace in the new film London Fields.
Leaked video shows Johnny Depp throwing wine glass, shouting at Amber Heard
Thornton has also assured his sixth wife and Puppeteer Connie Angland, that he hasn't been unfaithful to any of them.
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