The cases against Basavaraj, a Hindi teacher, was registered under IPC section 354 (relating to outraging modesty of woman) on complaints from the students.
The teacher was absconding and a search was on. He would be arrested soon, Deputy Commissioner of Police (West) Siddaramappa said.
He said the girl students alleged that the teacher 'sexually harassed' them and threatened that he would fail them in exams if they informed anyone.
The teacher was earlier also warned by the school headmaster for 'sexually harassing' the girl students.