He will appear in court on 7 January over the incident, which allegedly occurred in Nantucket in July 2016.
On Monday, Mr Spacey posted a video in which he appears to deny any wrongdoing while in character as Frank Underwood from House of Cards.
"I'm certainly not going to pay the price for the things I didn't do," he says in the clip.
"You wouldn't believe the worst without evidence, would you?" he asks. "You wouldn't rush to judgements without facts."