The event, which will include a range of contemporary performers and presenters, will be broadcast live online to a global audience.
P&O Cruises president Paul Ludlow said: "We always aim to do things differently, to create stand out and memorable moments for our current and future guests.
"Arvia, which will be delivered in December, will spend her first season sailing in the Caribbean so it is fitting that we mark her naming in one of our favourite ports of call with a week of celebratory performances and experiences onboard."
Prime minister of Barbados, Mia Amor Mottley, said: "Barbados continues to share a rich relationship with our sea and tourism, and the cruise industry has been of vital importance to our island and our economy."
