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.
More top news
A suspended Labour MP has told the party he will no longer co-operate with an internal investigation into his behaviour.
Former Liverpool and Newcastle defender Jose Enrique has revealed he has had surgery to remove a rare brain tumour and is now in recovery.
The mother-of-two said she was told by RSPCA investigators they were looking at the possibility that poison-laced sausages were involved.