He said that when he arrived, Heard was "cold towards" him and began "criticizing" him after the guests had left.
Depp said that when the alleged incident took place, he was not drinking.
He said a drunk Amber became "aggressive and violent, punching him twice in the face" and he responded by "grabbing (her) arms to stop her punching him again and told her to stop."
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A representative of Heard trashed the claims of the actor, labelling them as "totally false".
"These allegations are totally false. One needs only read the recent Rolling Stone article about Mr. Depp to understand his state of mind," he said.
"Mr. Depp is currently being sued in multiple venues, including for assaulting a location manager on the set of City of Lies. On many occasions, eyewitnesses observed the extent of the abuse Mr. Depp inflicted on Ms. Heard," he added.