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In an interview with ITV News, Christopher Jefferies said the letter of apology from Avon and Somerset Police was the "equivalent" to apologies he received from a number of newspapers.
Mr Jefferies added that the apology acknowledges "distress" caused not only to him, but friends and members of his family.
Christopher Jefferies said the "horrifying experience" of his arrest led him to believe that suspects should not be named unless they are charged with an offence.
He said that during the nine weeks he spent on bail it was impossible for him to return to his flat or live "anything approaching a normal life".
Christopher Jefferies said:
The innocent landlord of murdered landscape architect Joanna Yeates has received a letter from police expressing "regret" for the first time at the way he was treated after being arrested over her killing.
Christopher Jefferies hailed what he described as "public vindication" from Avon and Somerset Police over its handling of his detention, bail and subsequent release without charge after 25-year-old Miss Yeates' death in December 2010.
The "letter of exoneration expressing regret" from chief constable Nick Gargan - who met the retired teacher last Friday - acknowledged the "hurt" caused to the 68-year-old retired teacher when the force failed to clear him publicly of suspicion over Miss Yeates' murder.