Over 120,000 people have signed a petition to request the repeal of the Investigatory Powers Bill (IP Bill) that is set to become law in the coming months.
The Open Rights Group (ORG), which organised the campaign, welcomed the public's reaction to the Bill and said it showed how important it is such laws are not passed without the public being fully aware of their implications.
"The IP Bill was debated and passed while the public, media and politicians were preoccupied by Brexit," said ORG executive director Jim Killock.
"Now that the Bill has passed, there is renewed concern about the extent of the powers that will be given to the police and security agencies. In particular, people appear to be worried about new powers that mean our web browsing activity can be collected by Internet Service Providers and viewed by the police and a whole range of government departments.
"Parliament may choose to ignore calls for a debate but this could undermine public confidence in these intrusive powers. A debate would also be an opportunity for MPs to discuss the implications of various court actions, which are likely to mean that the law will have to be amended."
This petition was started by Tom Skillinger who said it was vital people in the UK did not accept such a blanket regime of surveillance.
"A bill allowing UK intelligence agencies and police unprecedented levels of power regarding the surveillance of UK citizens has recently passed and is awaiting royal assent, making it law," he wrote.
"This means it's not too late! This is an absolute disgrace to both privacy and freedom and needs to stop!"
The IP Bill, also known as the Snoopers' Charter, will require internet and phone companies to store comprehensive records of websites visited and phone numbers called for 12 months, and to enable police, security services and multiple other public sector bodies to access those records on demand.
It will also provide the security services with the legal power to bulk collect personal communications data, and give police and security services the explicit power to hack into, and bug, computers and smartphones.
Warming was most pronounced in Siberia region
The tank will be subjected to high stresses and loads via dozens of hydraulic cylinders during testing
'Sunlit wet sidewalk' provides evidence of methane rainfall on the north pole of Saturn's moon Titan
Methane rainfall indicates the start of the summer season in Titan's northern hemisphere
Scientists believe there could be other hydrides or superhydrides with super conducting properties