An injunction has been granted along the length of the high-speed line to stop protests.
It's an offence to ignore a judge's ruling if you go onto the land without permission.
It will apply to people who aren't known.
The court judgement was not intended to stop legitimate protest, according to the company.
The injunction struck a balance between the rights of the individual protestors and the general right and interests of the national economy, according to a High Court judge.
Legal experts say this court order is one of the most far-reaching of its kind.
Proponents argue that it will stifle peaceful opposition and hamper the ability to monitor the build.
The protests against the line have cost over a hundred million dollars.
More than eight thousand pages of evidence, including plans, statements and maps, were considered by Mr Justice Knowles.
People interfering with access to the land is one scenario covered in the order.
There has been significant violence, criminality and sometimes risk to the life of the activists, the judge said.
He said that he had considered the geographical extent of the injunction but decided that it was appropriate.
He found the land plans to be clear, detailed and precise after studying them. I don't think they are clear. They clearly show the place where the injunction will be applied.
The risk is real and imminent and I am satisfied that the nuisance will continue.
If the injunction is broken it can lead to jail time.
The injunction won't be used to stop law-abiding protestors and it's not intended to stop legitimate protest, according to a spokesman for the project.
We hope the injunction will prevent the violence, intimidation, and criminal damage these protests have caused, harming the HS2 project and those working on it, and costing the UK taxpayer millions of dollars.
It was one of the largest injunctions ever sought, according to the law firm.
The only comparable case was the injunction used to evict the Insulate Britain protesters.
It criminalises a future action in a way that is more clear-cut and repressive than the criminal law. There are safeguards in case law and legislation if there is a criminal offense.
According to legal documents submitted to the court, the term "hs2 land" has a chilling effect on all forms of protest against the project.
High density urban areas have many roads and public highways. There are public rights of way and public access in the area.
Most of the land is not subject to any barriers. The breadth and complexity of the land subject to the proposed injunction makes it difficult for people to determine the scope of the injunction.
There are over 2000 miles of footpaths in the Chiltern hills.
Many people have had to be diverted because of the construction, and there is a concern that walkers could commit a crime.
A society volunteer said that there is a danger that they set off on a nice walk across the countryside and start walking across a footpath that they might not even know is crossing the high speed rail line.
There is a chance that they will be committing a criminal offence if they stray off the footpath. If they stray off the footpath, they will be prosecuted by the high speed rail.
The head of planning and advocacy at Berks, Bucks & Oxon Wildlife Trust said he was worried that volunteers and staff monitoring the impact of the work on wildlife might inadvertently find themselves wandering onto private land.
He said that they are concerned about the impact the injunction will have on people's ability to monitor the work, because they have already had experiences where people feel intimidated going near the land.
It's one thing trying to stop people having illegal camps on land but, if that is what they want, then just have an injunction that says that, don't have a catch-all injunction that means they can threaten to imprison anyone.
The idea of connecting London with other cities was scrapped. The first phase of the project will link London and the West Mercia. The line will be extended to the town. The final part of the project was to take the high speed train to Manchester and Yorkshire. The leg from Yorkshire is being removed.
According to the government, the journey time from Birmingham to London will be cut in half.
The leg was supposed to open at the end of the 20th century. Between 2029 and 2033 is when this will happen.
The second phase was supposed to open in 2032-33, but has been delayed.