Replacing both parts on the car's parking-brake assembly takes less than an hour.
The recall affects Model S and Model X cars manufactured between February 2016 and October 2016.
The replacements are going to start immediately and Tesla hopes to have replacement parts for all 53,000 cars worldwide by October 2017.
Tesla traced the problem back to a batch of brakes from supplier Brembo installed on cars made during the roughly ten month period covered by the recall.More news: Roy Keane slams Man United: This was so poor it was unbelievable
In a study earlier this year of safety complaints against automakers, auto data and research company iSeeCars.com reported that Tesla ranked third, behind only Jeep and Chrysler, as receiving the most safety complaints of any auto brand. Strong enforcement by the Obama administration saw vehicle manufacturers issue 927 recall campaigns, beating the previous high set in 2015.
Tesla further noted it received no reports suggesting the parking brake issue has caused any accidents or injuries.
"In the meantime, it is safe to continue regular use of your vehicle", Tesla said. During the interview, McNeill also emphasized that Tesla is not just a conventional vehicle manufacturer, but a company about "mobility and energy", citing the company's another big bet on sustainable energy business. It says that there's a possibility the gear could break and while it wouldn't disengage the parking brake, it would force it to become stuck in place. Tesla said it believes around 2 percent of those vehicles are affected by the potentially faulty gear.
Following the recall news, shares in Tesla dipped by 1.12 per cent. It is worth noting that this isn't the first time Tesla has had to issue a recall.