The recall affects 15 models from the 2008 to 2012 model years.
The company says in documents filed with U.S. Safety regulators that the problem was traced to a circuit board in the charging system. One customer filed a complaint in the US, but more than 200 complaints were received from other countries.
Dealers will replace the charging system regulator-rectifier to fix the problem. Suzuki will notify owners and begin the recall repairs in early March at no cost to owners.