Staged follows the cast of an upcoming West End show who are desperately trying to keep rehearsals going remotely after they are furloughed.
Tennant and Sheen recently appeared together in Good Omens, the BBC and Amazon Studios drama based on the book by Terry Pratchett and Neil Gaiman.
Described as absurd and humorous in equal measure, Staged pokes fun at the challenges of creating a drama in lockdown.
The cast also includes Tennant’s wife Georgia, Sheen’s partner Anna Lundberg and Lucy Eaton, while Nina Sosanya, best known for BBC comedy W1A, has been confirmed as a special guest, with more to be announced.
The six episodes of 15 minutes each will be filmed by the actors using a mixture of self-shooting and video conferencing technology in line with social distancing rules.
Charlotte Moore, director BBC Content says: “It’s so important that the BBC provides moments of humour and light relief and this mischievous idea shows what great sports Michael and David are.”
The series, written by Simon Evans, will air next month on BBC One and will be available as a box set on iPlayer after transmission.
Staged is far from the first new TV show to be created under lockdown.
Earlier this month, ITV won praise for its Isolation Stories mini-series, which saw actors receive directions and instructions on how to set up lighting via Zoom.