Soldier F was charged with the murder of William McKinney (left) and James Wray on Bloody Sunday
Mr Eastwood attended the pre-trial hearings at Belfast Crown Court in June where Soldier F was shielded from view by floor to ceiling curtains.
No trial date was set but the case will be reviewed in the New Year.
Speaking after today’s ruling, Colum Eastwood MP said: “Today’s ruling is another step forward in the long campaign for justice for the Bloody Sunday families. For over 50 years the scales have been tipped against them and stacked in favour of agents of the British state. Today we received welcome confirmation that the charges against ‘Soldier F’ will not be dismissed and that he will face trial for murder and attempted murder.
“It remains a matter of regret that the PPS failed to consult the families before deciding not to contest the anonymity order against Soldier F.
The families know who he is, everyone in Derry knows who he is and I named him in the House of Commons using the power available to me as an MP.
“While this is progress today, none of this is easy for the families. I’m thinking of them, I’m standing with them again and I hope that they receive justice soon.”