Mr Desborough, 39, was held in August last year by officers from Scotland Yard's Operation Weeting.
Today he was released from his bail and told he faces no further action.
Mr Desborough is the third person to be arrested in the phone hacking investigation only to be later told there was no evidence against them.
Laura Elston, a reporter from the Press Association, was held in June on suspicion of phone hacking. A month later she was told she faced no further action.
Bethany Usher, a former News of the World reporter turned journalism lecturer, was arrested in November and told she was being released from her bail the following week.
Gordon Ramsay 'mistress' contacted by Operation Weeting
28 Mar 2012
Journalism lecturer Bethany Usher faces no charges over phone hacking
08 Dec 2011
NOTW Hollywood reporter held
18 Aug 2011
The decision to release Mr Desborough means there are now 19 people currently on bail in the phone hacking investigation.