The problem lies with an electrical component of the Vehicle Stability Assist system, which on some cars, may have been damaged during manufacturing.
The automaker says the malfunction could apply a small amount of brake force without the brakes being touched, or apply too much brake force when the brakes are used.
Honda says there have been no reported crashes or injuries because of this, but it has received several complaints about the malfunction, which will be repaired free of charge.
The recall covers 3,200 Honda Pilot vehicles, 700 Acura RL vehicles and 3,800 Acura MDX vehicles from the 2005 model year, and 100 Acura MDX vehicles from the 2006 model year.
Honda says the owners of all affected vehicles will be notified my mail next month. In the meantime, owners can learn more about the issue by going on-line to www.honda.ca/recalls and www.acura.ca/recalls or by calling (888) 9HONDA9 for Honda owners or (888) 9ACURA9 for Acura owners.
Honda Motor Co. said the recall includes more than 183,000 vehicles in the U.S., 56,000 in Japan and others in Australia, Mexico and Germany.
— with files from The Associated Press