Whenever any male staffer attended their calls, they also misbehaved with him, police said.
They said the arrested persons were identified as Satveer, Ramesh, Ajay, Sadab and Rahul, all residents of Ghaziabad, and aged between 22 and 35.
Women staffers posted at the control room at the police headquarters had complained of receiving obscene and abusive calls from some unidentified persons, police said.
A team of crime branch traced their calls and arrested the five, police said.