Appeal is dismissed
Constable Stephen Carroll was shot dead as he responded to a 999 call at Lismore Manor in 2009.
He was the first police officer to be killed since the formation of the PSNI.
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Hide AdBrendan McConville, 42, of Glenholme Avenue in Craigavon, and 22-year-old John Paul Wootton, from Collingdale in Lurgan, are serving life sentences.
The pair had attempted to overturn their convictions but their appeal was dismissed at the High Court in Belfast on Thursday.
Wootton and McConville showed no emotion as the ruling was delivered, but their relatives and supporters wept outside the court amid a heavy security presence.