It follows last month's landmark visit by President Barack Obama to the Caribbean nation as part of a historic rapprochement between Cuba and the United States after 50 years of enmity stemming back to the Cold War.
"As the first British Foreign Secretary to visit Cuba since before the Cuban Revolution in 1959, this is an opportunity to hear for myself what Cuba thinks about its present challenges and where it sees its future," Philip Hammond said in a statement yesterday.
Hammond is also to sign a "bilateral agreement restructuring Cuba's debt to the UK" and agree on future cooperation in a range of areas from financial services to energy and education.
The foreign minister also hopes to raise the issues of social and economic changes in Cuba, human rights, trade, and the response to health issues such as the Zika virus.
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"Britain and Cuba have outlooks on the world and systems of government that are very different," Hammond said in a statement.
"That is why Cuba and the UK are set to reach new cooperation agreements on energy, financial services, education and culture, to the benefit of both our nations."
Hammond will also meet representatives from Cuban civil society and the British business community in Havana, according to the ministry.
European Union foreign policy chief Federica Mogherini became the highest-ranking EU official ever to visit Cuba when she travelled to Havana in March.