The police chief made the appeal as rumours were floating on various social media platforms about bombs being planted in various places in the city.
Reddy said the law and order situation in the city was peaceful. He said all necessary security arrangements had been made to maintain peace and public order.
The National Investigation Agency (NIA) on Wednesday busted an alleged Islamic State (IS) module with the arrest of five suspects in the city.
The agency said they were planning to carry out terror attacks in public places including religious sites and sensitive government buildings.
Firearms, explosive material, digital devices, Rs.15 lakh cash and other items were seized during the raids.
A special NIA court on Thursday sent the five to judicial custody for two weeks.
Following the busting of the module, security was stepped up in IT corridor, airport, sensitive installations and public places.