The couple are seeking damages for "personal distress"
Judgement has been reserved in the hearing to decide how much damages should be awarded to Michael Douglas and Catherine Zeta Jones in their case against Hello! magazine.
The couple are seeking £600,000 from Hello! for publishing unauthorised photos of their wedding.
It follows an earlier court verdict that the magazine breached their right of confidence after they had signed an exclusive £1m deal with rival magazine OK!
The decision on the amount of damages will be reserved until a later stage.
At an earlier High Court hearing, their barrister Alastair Wilson QC had argued that his clients should be paid £500,000 in commercial damages.
He said they were now seeking to receive a minimum of £50,000 extra each in damages for "personal distress", comparing it to the distress of being burgled.
Mr Wilson said the couple should be awarded a figure that represented the "extreme circumstances" of the case.
OK! is also seeking damages of £1.75m, to cover the costs it paid the couple for the exclusive shots of their New York wedding.