Bernthal had a brief role in the Edgar Wright directed film, also starring Ansel Elgort, Jon Hamm, Lily James and Jamie Foxx.
"I remember being on that set and I remember him really rubbing me the wrong way," Bernthal told SiriusXM.
"I thought he was a bit of a bully... I didn't really care for the way he was behaving toward some of the other people on set," he added.
Bernthal said that he lost a "ton of respect" for the "House of Cards" star and it was uncomfortable for him to see the way Spacey talked to some of the crew.
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"I think he was acting toward people in a way that
where I remember, at the time, thinking, man if that was a woman that he was talking to, I would have done something, I would have said something. And I was really happy to sort of get out of there, for that reason," he added.
Actor Anthony Rapp first accused Spacey of making an unwanted sexual advance at him when he was 14-years-old.
Production on the sixth and last season of Netflix's "House of Cards," in which Spacey plays the lead role of Frank Underwood, has since been suspended.
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