The cause of the fire, which burned down one dormitory of the Moi Girls school, is not known.
The girl, who is in Form One, said during the commotion, electricity went off even as the fire spread and the smoke engulfed the dormitory.
"We have 10 students who have been admitted to hospital right now, two of them with serious injuries".
However, the Education boss said that the ministry has been implementing radical changes in schools to ensure the discipline of students following a report by a team of investigators who probed last year's numerous cases of school fires.
"We have a school environment where there are arguments about local communities and the head teachers and they foolishly take it on to the point of destroying school property and getting into criminal activities to make a point", Matiangi said.
But AFP reported that police are trying to determine if the blaze is linked to a wave of school fires in 2016, when over 100 schools countrywide were hit by arsonists in a period of three months.
Numerous fires are set by students in protest at harsh discipline, poor teaching and corruption, according to Canadian Elizabeth Cooper, assistant professor of International Studies at Simon Fraser University.
"There are 10 cubicles in the dorm and each houses about 8 to 10 girls".
There has been a spate of similar attacks on schools in different parts of Kenya, Mr Matiang'i said.
In one case, boys had drained water tanks and cut phone lines before setting fire to their principal's auto and pushing it into his home.
A shaken 16-year-old schoolgirl, Daniella Maina, told Reuters: "We were sleeping and a girl woke us up and said that our hostel was burning".
The police could not verify the girls' claims and opted to remain mum over the suicide claims and the the ongoing investigations by extension.