In their sights is Uber Technologies Inc., a San Francisco-based company whose application lets people summon rides at the touch of a smartphone button and uses satellite navigation to calculate the distance for fares.
The drivers of black taxis say Uber, backed by investors such as Goldman Sachs and Google, is being used as a taximeter and thus contravenes a 1998 British law reserving the right to use a meter for licensed black taxis.
Uber says the application used by their drivers complies with all local regulations and that they are being targeted because of their success in winning customers.
A variety of apps are available for summoning both black cabs - bulbous, purpose-built vehicles which offer a roomier passenger compartment than most normal cars - and unmetered private-hire taxis known as minicabs.
But the power of Uber and the growing popularity of its app have so rattled the black cab drivers that they have pushed London's transport regulator to ask the High Court to rule on the legality of such applications.
They also plan to converge near Trafalgar Square on June 11 for a protest that could paralyse central London, following strikes and other actions by drivers in cities such as Paris and Milan.
"We understand it's a competitive market place, but they're not playing by the rules," Jim Thompson, a taxi driver of 30 years, told Reuters during a coffee and cigarette break in the financial district. "We're fighting for our livelihoods here. No one's going to take it lying down."
Since Uber's foundation in 2009 by two U.S. technology entrepreneurs, Travis Kalanick and Garrett Camp, the darling of Silicon Valley has entered over 70 cities, expanding from California to Washington, Tokyo and now London.
Colleagues in the U.S. capital are suffering, said Thompson. "I was over in Washington last year and it slaughtered them," he said. "You just can't compete."
Behind the debate over what constitutes a taximeter, Uber has touched a raw nerve in London because it brings home the threat to one of the city's most visible trades from technological advances.
To win the coveted green badge giving the right to drive a black taxi, drivers have to study for up to five years to pass the "the Knowledge". This is a rigorous test requiring encyclopaedic knowledge of London's roads and its landmarks - from the Tower of London to the site of Karl Marx's grave - although many drivers now use satellite-navigation devices.
First introduced as motorised competitors to the horse-drawn carriage in 1897 under Queen Victoria, there are now over 25,000 hackney carriage taxis in London making more than 300,000 trips each day.
The cabs, which are now made by China's Zhejiang Geely Holding Group, can be flagged down on the street and use a meter to calculate fares while London's 44,000 minicabs must be pre-booked with a set fare and destination.
Uber says its minicabs arrive in five minutes in central London and it offers numerous incentives, including a free first journey to attract new users and allowing customers to see the driver's name and photo before they arrive.
"You really feel you are the customer and not someone who's just getting a lift," said David Wetherill, an Uber customer in London. "It's like the difference between staying in a budget hotel and a five-star."
But Uber also provides an application for its drivers to calculate the cost of each journey by monitoring the distance and time travelled. The London taxi-drivers' union says this amounts to a taximeter and that the regulator, Transport for London (TfL), is failing to enforce its own rules with a firm that has powerful investors.
"TfL is scared by Uber's big-money backers like Goldman 'Government' Sachs and Google," said Steve McNamara, general secretary of the Licensed Taxi Drivers Association. "Something is very, very wrong here."
Tfl says its provisional view is that the use of smart phones does not constitute a taximeter but has invited the High Court to rule on the issue.
Uber is being targeted because of its success and out of fear of its technological strength, said Jo Bertram, Uber general manager for Britain and Ireland. "We're bringing more competition and we think that's good for everyone," she told Reuters at the company's new offices in north London.
"There's Uber being incredibly successful and there's also the march of technology," she said. "We're seen as one and the same."
But Uber isn't to everyone's taste. There have already been protests against Uber in both the United States and continental Europe, and one of its cars was attacked near Paris earlier this year. Not all appear to have helped the drivers' cause: when the Milan taxi union staged a strike in March, Uber enticed stranded customers by offering a 20 percent discount.
The company has also faced complaints from rival taxi firms in the United States while in France a law requiring all its drivers to wait 15 minutes before responding to a booking was briefly introduced and then suspended.
In London, about 10,000 taxis are expected to cause gridlock at next week's protest.
"What else are we meant to do" said cabbie Thompson, sheltering from the rain in the back of a taxi, drinking instant coffee from polystyrene cups with three colleagues who between them have over 150 years' experience driving taxis in London. "It's do or die in this world."