Hundreds of Range Rover Evoques and Land Rover Freelanders are being recalled by the manufacturer.
Jaguar Land Rover, which makes the cars at its Merseyside factory in Halewood, says 1,400 of the cars need to come back to the plant for inspections.
About 800 Evoques may have a steering issue, while another 600 Evoques and Freelanders could have faulty brakes. There have been no reported accidents.
The problems affect 235 cars in the UK.
A JLR spokesman said: "Land Rover is voluntarily conducting a safety recall to inspect the power steering gear mounting fixings in certain Range Rover Evoque models and the brake callipers in certain Freelander and Evoque models.
"Customers with vehicles that are potentially affected by these issues will be contacted in the near future."
The Halewood plant had been celebrating one of its most successful years.
International demand for the Evoque had pushed production to go 24 hours-a-day for the first time. Hundreds of new staff have also been taken on.
JLR recently reported that sales of the Evoque were up by 39% in November, compared to the same month in 2011.
Political leaders in Ellesmere Port have welcomed news that Jaguar Land Rover are to create 300 new jobs in the town.
Car maker Jaguar Land Rover is creating 300 jobs at a new logistics plant in Ellesmere Port, Cheshire.
They are being created on the back of the success of the new Evoque model, which is made on Merseyside.
The firm also plans to spend an extra £1billion with suppliers over the next four years.