Mitra is presently working as Special Director General, Border Security Force.
The Appointments Committee of Cabinet has approved appointment of Mitra to the post, an order issued by Personnel Ministry said.
She is a 1983-batch IPS officer of Madhya Pradesh cadre.
Mitra has been appointed in place of M K Singla, who superannuates this month end.
The internal security division deals with police, law and order, besides analysing threats emerging from terrorists, Maoists and other anti-nationalgroups.
Another IPS officer Rupak Kumar Dutta is also working as Special Secretary (Internal Security) in the Home Ministry.