The National Park Service says at least three fires were started Saturday night. The size of the fires has not yet been determined.
One of the fires is visible from the Going-to-the-Sun Road.
A team of smoke jumpers as well have air tankers have been ordered to help fight the fires.
The fires are not threatening major tourist areas, and no evacuation orders have been issued for residents that live in the park.
The Going-to-the-Sun Road remains closed from Lake McDonald Lodge to Logan Pass. The Lodge is also closed.
Elsewhere, a rural subdivision in Madison County was evacuated because of fires in the vicinity. A Red Cross shelter was set up at nearby Ennis High School.
And lightning started seven new, small fires in the Bitterroot National Forest east-northeast of Conner.