Chickens, a sitcom about three men in a world full of women after they remain home during World War I, was originally piloted at Channel 4 but the broadcaster later chose not to commission a full run.
Bird, Thomas and co-writer and fellow cast member Jonny Sweet will start filming the six-part show this December with a planned air date of summer 2013.
Thomas, Bird and Sweet said: "We're delighted to be joining the Sky family to be making a series of our First World War sitcom Chickens. It was the war to end all wars, and we hope this will be the comedy to end all comedies."
Sky's head of comedy Lucy Lumsden, who commissioned the series, added: "We have fallen in love with those naughty Chickens and think our customers will do too. We are delighted to give such a talented bunch a home on Sky 1 HD."
In Chickens, Thomas plays George, described as a conscientious objector, while Bird portrays army reject Cecil. Sweet plays Bert, an "amoral philandering scaredy cat".
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Watch Digital Spy's Chickens interview with Joe Thomas, Simon Bird and Jonny Sweet below: