Judgment is being handed down by Mr Justice Ouseley at London's High Court. Whatever the judge decides, appeals against his decisions are almost certain to be taken to the Court of Appeal.
Key accusations include that the Government has unlawfully failed to undertake a strategic environmental assessment of the entire project before giving the go-ahead, or to arrange a consultation process "that allows informed responses on the true merits and demerits of the proposals".
There is also a dispute over the compensation arrangements being put in place for homeowners living near the HS2 line.
Some 172,000 properties within 1km of the first phase are reported to be affected by "a generalised blight" since the proposals were announced.
More top news
European nations are collectively consuming more fish than its waters can provide, according to a new study.
PM announces funding will be made available for a memorial dedicated to the victims of last week’s terrorist attack in Tunisia
Mother of the gunman in the Tunisia beach terror attack said her son once refused to kill a mouse because he "couldn't kill anything".