They come on top of the 1,500 people who left the company in 2018.
Tata-owned JLR, based in central England, said it will cut 4,500 out of 42,500 jobs, while Ford said it will slash "thousands" of jobs as part of an overhaul that could result in plant closures and the discontinuation of some models.
In July last year, the company said it needed more certainty around Brexit in order to continue investing in its United Kingdom operations and warned that a "no-deal" Brexit would cost the company more than £1.2bn in profit each year.
In China, demand was adversely impacted by consumer uncertainty following import duty changes and escalating trade tensions with the US.
The company said it will produce next-generation electric motors at its engine plant in Wolverhampton, and assemble batteries at Hams Hall, also in the U.K.'s West Midlands region.
According to the broadcaster, the job layoffs are part of a £2.5 billion ($3.2 billion, 2.75 billion euro) cuts program.
Brexit played an indirect role in the decision, Jaguar Land Rover Chief Executive Officer Ralf Speth said on a conference call, citing the United Kingdom automotive market's 6.8 per cent drop in 2018, the worst since the financial crisis. JLR said it regularly reviewed "its production schedules to ensure market demand is balanced globally".
In the United Kingdom, "continuing uncertainty related to Brexit" has been blamed.
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The anticipated announcement of job losses on Thursday is not the first time the company has made cutbacks in recent years.
And Ford signalled "significant" cuts among its 50,000 European workforce under plans to make it more competitive and make its business more sustainable.
Steven Armstrong, Ford's European group vice president, said the company was taking "decisive action" to transform its European business.
They said in response: It is, of course, bad news that Jaguar Land Rover is being forced to make further job cuts.
The report said JLR had been hit by a slump in Chinese sales, a downturn in diesel vehicle sales and fears about Britain's competitiveness after Brexit. The European Union has set lower limits for vehicle carbon dioxide emissions from 2021 that are pushing carmakers to include more electric vehicles in their future sales mix.
Britain's business minister Greg Clark said on Thursday it is clear why a no-deal Brexit would add to the problems with further costs and disruption. It is also working to ramp up its electric auto production.
AM reported last monmth on reports that JLR would cut up to 5,000 jobs from its work force. The company said it would start a voluntary buyout program and implement a flatter management system as it increases investment in areas such as electrification.
"Government ministers need to wake up and start doing more to support UK's vehicle workers and their colleagues in the supply chain if Jaguar Land Rover's recent success is to continue".