The one-off programme follows the widespread riots in London over the past few days that have spread to other parts of the UK.
The rioting was localised to Tottenham over the weekend, before spreading to Croydon, Clapham Junction, Peckham and other areas of London yesterday. Disruption was also reported in Birmingham, Liverpool, Bristol and Nottingham.
No guests have yet been confirmed for the Question Time special.
BBC journalist Alex Hudson tweeted: "To all those asking about #bbcqt guests, it'll be a while before they're announced. Nothing confirmed as yet."
Anyone wishing to apply to be in the audience for the Question Time special should visit the BBC Question Time website.
Prime Minister David Cameron and London Mayor Boris Johnson both cut short their holidays to return to the UK in the wake of the escalating violence.
A Sony distribution centre in Enfield went up in flames during the London riots last night, while reporters from Sky News, ITN and the BBC were also attacked by rioters as they covered the story.
Question Time was first broadcast in 1979 as the television equivalent of BBC Radio 4's political panel programme Any Questions? It has been hosted by Robin Day, Peter Sissons and its current long-running presenter David Dimbleby.
The one-off Question Time special will go out live at 10.35pm on BBC One on Thursday.
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