They say the flames can be seen from miles away.
A Tanzania National Parks statement said that the volunteers have managed to limit the fire’s spread. Spokesman Pascal Shelutete said the area still burning is known as Kifunika Hill.
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He said the cause of the fire has yet to be established.
Mr Shelutete did not say how the fire, which has been burning for more than a day, has affected wildlife or vegetation, but he assured tourists of their safety.
The mountain is popular with hikers and climbers.
Mount Kilimanjaro is the highest single free-standing mountain in the world, with a height of 19,443 feet.