Netflix, however, had already decided to end the show and was pursuing a spin-off.
Anthony Rapp said in an interview that Spacey attempted to sexually assault him in 1986 - an incident Spacey says he does not remember. Rapp was 14 at the time while Spacey was 26.
Spacey has apologised for the incident, which he said he doesn't recall but would have stemmed from "drunken behavior". He also spoke publicly for the first time about being gay.
Media Rights Capital, which produces House of Cards, and Netflix released a joint statement on Monday saying they "are deeply troubled" by last night's news concerning Kevin Spacey, who as previously scheduled is not currently working on set.
"In response to last night's revelations, executives from both of our companies arrived in Baltimore this afternoon to meet with our cast and crew to ensure that they continue to feel safe and supported," said the two companies.
The show's creator Beau Willimon also weighed in, saying: "Anthony Rapp's story is deeply troubling. During the time I worked with Kevin Spacey on House of Cards, I neither witnessed nor was aware of any inappropriate behavior on set or off."
He went on to state: "That said, I take reports of such behavior seriously and this is no exception. I feel for Mr. Rapp and I support his courage."
There is also a chance that Spacey's character was never meant to be in the sixth season, with his character's health an issue throughout the five previous seasons of the show and the actor currently in the middle of shooting a Gore Vidal biopic.
The final House of Cards episodes are in production, with a release date yet to be announced.
The International Emmy Awards also said they will no longer honor the two-time Oscar winner following the allegations.
