The topical debate programme, hosted by newsreader Fiona Bruce, sees audience members ask questions to a panel of politicians and other media figures.
A special edition of the programme, held in London, will ask what Trump’s presidency means for Britain and the world as he returns to the UK for a state visit this month.
The BBC has said it will question panel members on whether the transatlantic relationship can survive the doctrine of “America First” and what it means for defence, trade and our approach to flashpoints around the world, including Gaza and Ukraine. Panel members will also explore what people in the UK think of Keir Starmer‘s efforts to win over the White House.
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The broadcaster added it will feature voices “from across the political spectrum”.
During the season, the programme will visit Paisley as its Scottish stop.
Other episodes will be held in Bedworth, Belfast, Shrewsbury, Bishop’s Stortford, Swindon, Bradford, Sunderland, Loughborough and Watford with more locations to be announced.
The US president, who was hosted by the late Queen Elizabeth in June 2019, will make a second state visit later this month, hosted by the King at Windsor Castle.
Prime Minister Keir Starmer presented the royal-loving US president with a letter from the King inviting him for a historic second state visit in February when he visited the White House.
Trump visited Scotland at the end of July for four days during which he opened a new golf course at Trump International in Aberdeenshire and visited his other course at Turnberry in Ayrshire.
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He faced numerous demonstrations against him across the country, including a sign put up at Trump International which read “twinned with Epstein Island” as he faced backlash over his past links to the convicted sex offender.
Vice President JD Vance also visited Scotland last month as part of a family holiday at the Carnell Estate near Kilmarnock. He was greeted at the resort by dozens of pro-Palestine protesters, who accused him of supporting Israel’s genocide in Gaza.
Question Time begins on Thursday, September 18, from 9pm on BBC iPlayer and 10.40pm on BBC One.