The Palo Alto, Calif. -based company said it would alert affected customers of the recall via mail and email, which will inform them on how to replace the parking brakes.
A voluntary global recall has been issued by Tesla to fix problem of parking brakes in some of its cars like Model S and Model X.
The recall comes as Tesla remains close with General Motors as the United States automaker with the highest market capitalization and is looking to scale up manufacturing in order to meet demands for the highly anticipated Model 3.
In an official statement, the electric car-maker said the issue stems from "a small gear that could have been manufactured improperly by our third-party supplier".
Although less than 5 percent were affected, Tesla wants to be sure of no risk to customers.
The recall covers about 63% of the roughly 84,000 vehicles Tesla manufactured in 2016. 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. It admitted it is hard to tell which vehicles exactly are affected, and hence it made a decision to recall a lot more out of caution.
Update: TechCrunch posted the e-mail sent to Tesla owners impacted by the recall. Tesla's valuation has been climbing in part due to the upcoming introduction of its most affordable auto, the Model 3, which will require manufacturing at much greater scale. Tesla is also working with suppliers to get replacement parts and have them installed on the recalled cars by the end of October 2017.
The broken gear can't cause any harm to the driver or passengers (hence the voluntary recall), but if it happens then the vehicle will not be drivable.
In US trading, Tesla shares closed down 1% at $302.51.
"Service capacity will not be an issue", a Tesla spokeswoman said in an email, noting that the mobile technicians will be able to handle the fix.