The recall covers Forenza models from 2004 through 2008 and Reno models from 2005 through 2008. Both vehicles were made for Suzuki by General Motors.
The Japanese automaker says the headlamp switch or daytime running light modules can overheat, melt and catch fire on the left side of the steering column.
The company will notify owners and fix the problem for free. It hasn't scheduled the repairs yet.
GM on Wednesday recalled 218,000 Chevrolet Aveo subcompact cars for a similar problem as the company continues to review safety issues and issue recalls.
American Suzuki Motor Corp filed for Chapter 11 bankruptcy protection in November of 2012 and stopped selling automobiles in the US.
Documents posted today by the National Highway Traffic Safety Administration say that the company will provide a plan for fixing the problem and a schedule for notifying owners and dealers about the repairs.