The couple plan to spend the day at a World AIDS Day charity fair organised by the Terrence Higgins Trust and then meet Headteachers of a local school, Nottingham Academy.
An official announcement on November 27 said that the 33 -year-old Harry had got engaged earlier this month and that he had informed Queen Elizabeth II of his intention to marry Markle.
"Prince Harry and Ms Meghan Markle are in Nottingham for their first official visit together since announcing their engagement," Kensington Palace said in a statement.
They visited National Justice Museum and Nottingham Contemporary before making their way to Nottingham Academy, where Harry had a little dance as they learnt about the Full Effect programme, which helps prevent young people from turning to violence and crime.
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Dominic Edwards, from the Terrence Higgins Trust, said the charity was "thrilled" that the couple had chosen to visit Nottingham.
"I think it really underlines his great support for HIV as a cause," Edwards said.
Prince Harry has spent time in Nottingham both publicly and privately since he first met young people there in 2013, when he was exploring issues around youth violence.
Harry's communication's secretary Jason Knauf said the prince was looking forward to introducing his 36-year-old bride-to-be to a community that had "become very special to him".
He added that the 36-year-old Markle, best known for her role as Rachel Zane in the legal drama 'Suits', "could not wait" to meet people she had heard so much about.
The couple are due for a May 2018 wedding at St George's Chapel in Windsor Castle, with the exact date yet to be announced.
She plans to focus her attention on the UK and Commonwealth.
"This is the country that's going to be her home now and that means travelling around, getting to know the towns and cities and smaller communities," their spokesperson said.
She will also become the fourth patron of the Royal Foundation of the Duke and Duchess of Cambridge and Prince Harry.
The foundation is behind Prince Harry's Invictus Games - the Paralympic-style competition for injured servicemen and women and veterans - and also the mental health charity Heads Together.
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