The three Kenyans won a ruling from Mr Justice McCombe last year that they had "arguable cases in law".
But the case came back to London's High Court in July to consider a claim by the Foreign and Commonwealth Office that the actions were brought outside the legal time limit.
Lawyers for Wambugu Wa Nyingi, Paulo Muoka Nzili and Jane Muthoni Mara argued that it was an exceptional case in which the judge should exercise his discretion in their favour.
Today, Mr Justice McCombe said they had established a proper case for the court to exercise its discretion and allowed their claims to proceed to trial.
More top news
Low pressure remaining in control gives more unsettled weather for the UK this weekend.
Charlie Gard, the baby boy whose fight for life captured the attention of the world has died, his family has confirmed.
A Royal Marine who lived a "dangerous double life" as a terrorist bomb-maker claims he faked Irish Republican sympathies out of fear.