The 65,000-tonne warship is sailing for the first time from Portsmouth Naval Base.
The 65,000-tonne warship was appointed the command ship of Nato’s Maritime High Readiness Force at a ceremony held onboard at Portsmouth Naval Base on Tuesday.
The UK has taken over from France to run the task force, which was formed to deal with major global incidents.
The task force will be run for the next 12 months by Commander UK Strike Force – the most senior sea-going staff of the Royal Navy, headed by Rear Admiral Mike Utley.
Rear Admiral Utley said: “Nato is the cornerstone of the UK defence and our commitment to the alliance is absolute, and it is a privilege to be the UK Maritime Component Commander moving into our vital role this year.
“The Royal Navy is global, modern, ready and well-placed to support Nato in all its endeavours.”
A navy spokesman said: “As well as a test of the battle staff, it will be the first test of HMS Prince of Wales since the carrier was declared fully operational at the beginning of autumn following two intensive years of trials and training.”
Captain Steve Higham, HMS Prince of Wales’ commanding officer, said: “This year, as the Nato command ship, we will spend over 200 days at sea operating globally with our allies.”