The letter has been sent to the Director General of Rab and the Dhaka Metropolitan Police Commissioner.
The three teachers are Principal Nazneen Ferdous, morning shift in-charge Jeenat Akhter and class teacher Hasna Hena.
Meanwhile, the Education Ministry has sent another letter to the Dhaka Education Board Chairman for taking departmental actions, including their suspension, against the teachers.
Besides, another letter sent to the Director General of the Secondary and Higher Secondary Education Directorate asking it to take steps to suspend their salary and allowances.
The Education Ministry on Tuesday formed a three-member probe committee which found three teachers of Viqarunnisa Noon School and College responsible for the suicide of Aritree Adhikari.
Aritree Adhikari, a Class-IX student, committed suicide at their Shantinagar residence in the city on Monday after being rebuked by the teachers for using mobile phone during examination.