They alleged that the constables misbehaved with them, when they were returning from a friend's birthday party on September 2.
One of the girls is working as a public relation officer with a five star hotel.
The complaint mentions that the constables asked them 'personal' questions and even insisted to know their mobile numbers, after taking away their licences.
The girls said that the constables even threaten them to take to the police station at midnight.
The harassment, according to the complaint, continued for almost 25 minutes during which the constables 'acted flirty' and also against the law.
Superintendent of Police (North) Vijay Singh told PTI that after the complaint, the constables were placed under suspension immediately, pending inquiry.