The former News of the World journalist was held after he published the home address of an executive on News Corporation's management and standards committee on his website on 7 March.
The CPS said on Friday that Thurlbeck should not be prosecuted over the incident.
Alison Levitt QC, principal legal adviser to the director of public prosecutions, said: "The CPS has received a request from the officers investigating Operation Weeting for charging advice in relation to Neville Thurlbeck, suspected of witness intimidation and harassment. This relates to a blog posted by Mr Thurlbeck on 7 March 2012 in which he gave the home address of a member of News International's management standards committee.
Thurlbeck remains on police bail on suspicion of conspiring to intercept communications and the unlawful interception of voicemail messages. He is bailed to return to a south-west London police station in May.
"And also my lawyer Henri Brandman for his wise counsel. I am fortunate to retain the services of one of London's finest lawyers."
Separately, the former chief executive of News International, Rebekah Brooks, has been rebailed until early May in relation to inquiries being conducted by the Operation Weeting team, Scotland Yard has confirmed.
• a file relating to one journalist and one police officer with relation to alleged offences of misconduct in public office and the data protection act.
• a file relating to one journalist and six other members of the public with relation to alleged offences of perverting the course of justice in relation to the phone-hacking inquiry.
• a file relating to one journalist, Thurlbeck, with relation to alleged offences of witness intimidation and harassment, and
• a file relating to one journalist with relation to alleged offences under the Regulation of Investigatory Powers Act that covers the interception of communications.
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