The installment, which will air in 2013, is currently filming in Cardiff and will star new Who companion Jenna-Louise Coleman, Doctor Who Magazine reports.
Cross created hit Idris Elba crime drama Luther in 2010 and also served as head writer on Spooks between 2006 and 2008. He is also developing ten-part pirate series Crossbones for NBC.
Mark Gatiss has also confirmed that he will write a 2013 episode of Doctor Who.
"It’s for the new companion, Jenna-Louise Coleman - that’s all I can tell you or I will actually be shot!" he joked.