Theresa May will be the first UK Prime Minister to visit Kenya in 30 years, a statement released by her office on Monday said.
She will also tour Nigeria and South Africa, her first trip in Africa since assuming office as Prime Minister.
May will meet President Uhuru Kenyatta on Thursday and later travel to see British soldiers training troops from Kenya and other African countries.
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"She will also commit to helping support the next generation of energetic, ambitious young Kenyans as they seek to build a more prosperous country in the years ahead," May's office said.
Margaret Thatcher was the last British PM to tour the country in 1988. David Cameron was to visit in June 2016 but did not after his resignation over the Brexit vote.
"The Prime Minister’s central message will be focused on a renewed partnership between the UK and Africa," the statement adds.
The UK seeks to maximise shared opportunities and tackle common challenges in the continent, which it described as growing at a rapid pace.
"As Africa seeks to meet the needs of its growing population the visit will also emphasise that it is in the world’s interest to help secure African stability, jobs, and growth."
This follows concerns that conflict, poor work prospects, and economic instability will continue to encourage migration and dangerous journeys to Europe.
"Because nations cannot prosper without security, the Prime Minister will also use the visit to announce further support to tackle instability across the region," May's office said.
May said: "The trip is a unique opportunity at a unique time for the UK to set out our ambition to work even closer together."
She hailed Africa as standing right on the cusp of playing a transformative role in the global economy.
"A more prosperous, growing and trading Africa is in all of our interests and its incredible potential will only be realised through a concerted partnership between governments, global institutions, and business," the PM added.
She said that as Britain prepares to leave the European Union, it is time for the UK to deepen and strengthen its global partnerships.
"This week, I am looking forward to discussing how we can do that alongside Africa to help deliver important investment and jobs."
The Prime Minister will be joined by a business delegation made up of 29 representatives from UK business – half of which are SMEs.
The delegation has British expertise in technology, infrastructure, and financial and professional services.
The delegates include the London Stock Exchange, Cardiff-based cooling technology firm Sure Chill and solar tech provider Northumbria Energy.
London-based start-up Farm.ink - who have created a knowledge-sharing mobile platform for farmers, Northern Irish agri-tech leader Devenish Nutrition, world-renowned Scotch Whisky Association and Midlands manufacturing giant JCB will be represented.
The Prime Minister will begin her trip in Cape Town in South Africa where she’ll see President Cyril Ramaphosa and meet young people and business leaders.
While in South Africa, May will present the Mendi bell - which was lost in a shipwreck in 1917, to President Ramaphosa in a ceremony at Cape Town.