26 April 2012
Last updated at 09:26 GMT
Bamber is serving a whole life tariff for the murders
Jeremy Bamber, who was jailed for killing his family 27 years ago, has failed in his latest attempt to appeal against his conviction.
Bamber, now 51, was jailed for shooting his adopted parents, sister and her six-year-old twin sons at the family’s farmhouse in Essex in 1985.
He was given a whole life tariff for the killings.
A spokesman for the Criminal Case Review Commission (CCRC) confirmed it was not referring the case for appeal.
Bamber has always maintained his innocence claiming that his sister, Sheila Caffell, murdered her parents and children before turning the gun on herself.
His latest request for an appeal was based on a fresh analysis of three burn marks found on his father, gunshot wounds on his sister and evidence surrounding weapon silencers.
The Court of Appeal rejected a request from Bamber for an appeal hearing in 1989.
He was granted an appeal in 2002, after the case was referred by the CCRC, but the appeal was dismissed.
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