The royal visit will be part of the couple's annual involvement in 'Wales Week', an event held to promote the country, its charities and projects.
Charles and Camilla will travel to BBC Cymru Wales's Roath Lock Studios in Cardiff, where a large proportion of Doctor Who is filmed, to mark the sci-fi show's 50th anniversary.
Doctor Who uses many locations in Wales, with all studio filming taking place at Roath Lock. The interior of the TARDIS has been located there since the 'Snowmen' Christmas special.
Matt Smith (The Doctor) and Jenna-Louise Coleman (Clara) will meet the royal couple, along with several other co-stars.
A Clarence House spokesman said: 'The Prince and The Duchess always enjoy their annual visit to Wales and this year they are looking forward to a varied programme of engagements including everything from Dylan Thomas's Boat House to Doctor Who's TARDIS!
"Their Royal Highnesses are also keen to highlight the vital work being done across Wales by some of the charities they are involved with."
Earlier this month, Jenna-Louise Coleman met the Queen at the royal opening of the BBC's Broadcasting House extension.
Prince Charles and the Duchess of Cornwall recently visited publishers DC Thomson in Dublin as part of The Beano's 75th anniversary year.