The news was confirmed by director Paul Wilmshurst on Twitter (who also directed Kill the Moon and Mummy on the Orient Express) - and guest star Nick Frost also tweeted about the wrap:
And that's a wrap on the Doctor Who Xmas Special. Been a lovely experience - fab crew, fab cast, fab script, fab sets. Thanks everyone!
— Paul Wilmshurst (@PootleFly) October 3, 2014
Just wrapped on the Dr. Who Christmas special. What an adventure. Loved every second! Great cast, Great crew. #DrWho #MerryChristmasThe special stars Peter Capaldi and Jenna Coleman, alongside guest stars Nick Frost, Nathan McMullen, Natalie Gumede and Michael Troughton.
— Nick Frost (@nickjfrost) October 3, 2014
The 2014 Doctor Who Christmas Special will air on BBC One this Christmas (most likely Christmas Day).