The pair, who play Stephen and Jane Hawking in the film, are nominated in the leading actor and actress categories at the awards.
Redmayne said: “I’m feeling amazing, I’m feeling really extraordinary, we’re in Los Angeles and we just found out so we’re about to open a bottle of something.”
His co-star, who was across the city, said she had been exchanging messages with Redmayne and was also planning to celebrate.
She said: “I’m sort of stunned and excited. It’s wonderful. I’m looking forward to celebrating with a glass of champagne and Skyping my family.”
Redmayne, who has also been nominated for a Golden Globe and a Screen Actor’s Guild award, said being nominated for a Bafta was particularly special.
Despite all the talk of awards, Redmayne admitted he had already had his biggest reward — meeting Hawking.
He said: “The most rewarding part of it was getting to meet Stephen, Jane, and the Hawking family. The whole film was this extraordinary mixture of great privilege and great responsibility and just being able to enter the lives of these people for a few months and to hear their stories. Even just to spend time with them was truly an honour.”
Among the names competing with Redmayne to be named leading actor is Benedict Cumberbatch, but he said there was no rivalry between him and the Sherlock star, who is nominated for his performance as another ground-breaking scientist — wartime codebreaker and computing pioneer Alan Turing in The Imitation Game.
The recently named GQ best-dressed man of the year said he was not worried by what to wear on the red carpet as someone else would help him choose his outfit.
Jones confessed to feeling “a little nervous” about her red-carpet appearance, but said: “I’m looking forward to it. It was a film that I cared so deeply about and we’re all immensely proud of it, so it feels wonderful to be celebrating it.”
She said she had enjoyed the response of Stephen and Jane Hawking to the film.
She said: “The response of Stephen and Jane and that they have enjoyed the film and have responded so well to it, that meant a huge amount. Because it’s such a unique story and we all cared so deeply about presenting their story in a truthful way and way that they would be happy with. So that was really special that they responded to it in the way they did.
“Jane wrote a lovely email saying how lucky she felt that a story had been made of her and Stephen’s life while they’re still alive, because usually films aren’t made about people until they’re dead. She’s just been very warm about it, so it’s been incredible.”
Jones added that she wants to to meet Foxcatcher director Bennett Miller during the awards season, as she would love to work with him