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
Marco Reus says even he doesn't know why he did not take a driving test after he was fined 540,000 euros for driving without a licence.
A ban on female soldiers fighting on the front line could be lifted in 2016, the Ministry of Defence has announced.
A woman who filmed her elderly mum's carer stealing money explained how she felt ill when she discovered the crime.