The murderers of Fusilier Lee Rigby will stay behind bars for decades, after the Court of Appeal threw out an attempt to cut their sentences.
Michael Adebolajo challenged his conviction and whole life sentence. Michael Adebowale wanted to reduce his forty five year minimum jail term. The pair killed the soldier, from Greater Manchester, as he walked near barracks in London.
Lee's widow said "justice had been done" and she now wants to concentrate on building a future for their young son.
Our correspondent Elaine Willcox was at the Appeal Court.
The fiancée of murdered soldier Fusilier Lee Rigby has welcomed rulings by the Court of Appeal to reject appeals by his killers.
Speaking afterwards, Aimee West said: "I am relieved and thankful with the outcome of today's hearing."
Michael Adebolajo had appealed against his conviction, while co-defendant Michael Adebowale had appealed against his life sentence.
The two Islamic fanatics found guilty of the murder of soldier Lee Rigby have had appeals rejected.
Michael Adebolajo's application for permission to appeal against his conviction was thrown out by Lord Chief Justice Lord Thomas and two other judges in London.
They also rejected Adebolajo's attempt to appeal against his whole-life sentence, which condemns him to die behind bars.
Lord Thomas, sitting with Lady Justice Hallett and Mr Justice Openshaw, also dismissed a sentence challenge by co-accused Michael Adebowale, who was jailed for life with a minimum term of 45 years.
The British-born Muslim converts ran 25-year-old Fusilier Rigby down in a car before hacking him to death with a meat cleaver and knives in a frenzied attack in Woolwich, south London.
Lord Thomas said their sentences were "just" punishment for the "horrific and barbaric" murder.
The pair had "gloried" in what they had done, he said.
Adebolajo's attempt to challenge his conviction was "misconceived" and "completely hopeless".
Members of Fusilier Rigby's family gasped with relief and there were tears in court as the decision was announced.
Adebowale watched the proceedings via video link from Broadmoor. Adebolajo had waived his right to do the same from Frankland Prison, Country Durham.
The Court of Appeal has thrown out an appeal by Michael Adebowale to have his minimum 45 year sentence reduced.
It comes after judges rejected an appeal by his co-defendant Michael Adebolajo against his conviction.
Lee Rigby's wife sobbed with relief in court as the decision was announced.
Relatives weep and smile as Lord Chief Justice dismisses Adebowale's appeal to reduce his sentence. Lee's fiancée said she was relieved.
Lord Chief Justice and the two other judges have rejected Michael Adebolajo's appeal against his whole life sentence for barbaric murder
The widow of murdered soldier Lee Rigby has attended the Royal Courts of Justice to hear the appeals of his killers.
Michael Adebolajo this morning lost his bid to challenge both his conviction and a whole-life sentence which condemns him to die behind bars.
The panel of three judges sitting at the High Court took just a few minutes to dismiss the argument that he had not broken the Queen's Peace, ITV News Correspondent Juliet Bremner has reported.
Lawyers for his co-accused Michael Adebowale, who was jailed for life with a minimum term of 45 years, are separately arguing for a reduction in his sentence.
Michael Adebolajo, one of the two Islamic fanatics found guilty of the murder of soldier Lee Rigby, has lost a bid to challenge his conviction.
His application for leave to appeal was rejected by Lord Chief Justice Lord Thomas, sitting at the Court of Appeal in London with Lady Justice Hallett and Mr Justice Openshaw.
The judges were then hearing argument on behalf of Adebolajo against a whole-life sentence which condemns him to die behind bars.
Lawyers for his co-accused Michael Adebowale, who was jailed for life with a minimum term of 45 years, were arguing for a reduction in sentence.
The British-born Muslim converts ran 25-year-old Fusilier Rigby down in a car before hacking him to death with a meat cleaver and knives in a frenzied attack in Woolwich, south London
Adebolajo has lost right to appeal his conviction for murdering Lee Rigby. His barrister now arguing against his whole life sentence
Lee Rigby's fiancée Aimee West here at Court of Appeal. Adebowale appealing 45 year sentence. Adebolajo wants right to appeal conviction.
Lee Rigby's widow Rebecca arrived at court for appeal hearing looking tearful. http://t.co/KcmRNPH62I
Michael Adebolajo, one of the two Islamic fanatics found guilty of the murder of soldier Lee Rigby, has lost a Court of Appeal challenge against his conviction.
Adebolajo wanted to challenge both his conviction and his whole-life sentence for last year's killing.
The case was heard by Lord Chief Justice Lord Thomas, sitting at the Court of Appeal in London with Lady Justice Hallett and Mr Justice Openshaw.
The mother of murdered soldier Lee Rigby says she will never forgive her son's killers.
Speaking on the first anniversary of the Fusilier's death Lyn Rigby revealed she has a recurring nightmare of the moment he was killed and she couldn't help him.
Flags were flown at half mast in Rochdale today and a permanent memorial is to be built in Lee's hometown of Middleton.
Our correspondent Mel Barham reports.
The mother of fusilier Lee Rigby says she'll never forgive her son's killers.
It's a year since the soldier was killed in Woolwich.
Today armed forces flags will be lowered across Rochdale. Mel Barham reports.