In one case, a driver reported that the door flew open while driving, while others were concerned that the cars were unlocking of their own accord.
The models affected are the entire fleet of 2013-2016 Land Rover Range Rover, the last of which went into production in March this year. On average the cars retail upwards of £30,000.
Jaguar Land Rover said owners will be notified and instructed to take their cars to a dealer who will "download the latest software" at no extra cost.
The recall was reported to the US' National Highway Traffic Safety Administration last month, who published the details.
Jaguar Land Rover has suffered several embarrassments over software malfunctions in the past year; and drivers have reportedly struggled to find insurance cover due to poor security.
Range Rovers were targeted because of vulnerabilities in its keyless ignition feature where thieves were able to bypass the security system, unlock and even start the car engine with small devices easily bought online.
Innovation at JLR
The firm is researching connected car tech to identify potholes, broken drains and manhole covers and share the information with other cars and road authorities nearby to help speed up road maintenance.
It will rival similar developments from Volvo, which has created an icy road sensor that it hopes will assist the local authorities as well as other drivers connected to the internet.
The new technology will also allow the car to adjust suspension settings to reduce impact - reducing puncture wheel and vehicle damage costs for drivers.
This story, "Software glitch forces Jaguar Land Rover to recall 65,352 cars" was originally published by Techworld.com.