The Old Bailey trial over alleged phone hacking at the Prince William are claimed to have been intercepted by journalists.
Wills' voicemails apparently included intimate details such as the nickname "Babykins" which he used for his now wife and asked her about going beagling.
These details appeared in stories in the newspaper - along with an anecdote from Wills about "almost getting shot" whilst on a training exercise while he was in the military.
He had said: "I've been running around the woods of Aldershot chasing shadows and getting terribly lost, and I walked into some other regiment's ambush, which was slightly embarrassing because I nearly got shot.
"Not by live rounds but by blank rounds, which would be very embarrassing though."
The story also appeared in the newspaper.
Former NotW editors Rebekah Brooks and Andy Coulson are being tried along with one-time royal editor Clive Goodman and four others - accused of offences including conspiracy to illegally intercept voicemails, which they all deny.

Wills and Kate recently learned of Nelson Mandela's death [uuid=bf18fa48-8204-4933-8857-151c6c20fe40]while at the premiere of a film[/uuid] about the African politician.