A man serving life in prison for murdering his ex-girlfriend has lost his fight to have forensic exhibits retested.
Kevin Nunn, 53, of Woolpit, Suffolk, is serving a minimum 22-year sentence for killing Dawn Walker, 37, in 2005.
His lawyers told the supreme court that retesting evidence with modern methods could help overturn his conviction.
But the court has backed Suffolk Police's decision not to hand over the evidence.
Miss Walker's body was found near the River Lark, close to her home in Fornham All Saints, Suffolk, in February 2005.
Prosecutors said Nunn killed her after a row and later burned her body.
He was convicted in 2006 and, a year later, was denied permission to appeal.
In 2012, his attempts to get Suffolk Police to grant access to key exhibits were turned down by the High Court.
He claimed semen samples discovered on Miss Walker's body could not have been linked to him as he had undergone a vasectomy.
Suffolk Police said the Supreme Court judgment showed "the correct decisions" had been made in the case.
A spokeswoman said: "The Appeal Court upheld Nunn's conviction in 2007, where it was determined that there was 'ample evidence' upon which a jury could properly have convicted him of the murder of Dawn Walker.
"The decision to refuse the claimant's request for material in this case was not taken lightly.
"Suffolk Constabulary took appropriate steps to seek legal advice both from county solicitors and the Crown Prosecution Service to ensure that this decision was lawful and appropriate."
Sheena Walker, Miss Walker's sister, said: "I don't think the decision could be anything other than to dismiss the court case today.
"The decision wasn't made by just one judge, it was made by five of the top judges in the country.
"It was unanimous, which makes our point even stronger. The man is guilty."