Banajara Hills police inspector served the notice to Ravela Sushil, son of Andhra Pradesh's minister for social welfare Ravela Kishore Babu, under section 41A of Code of Criminal Procedure.
Sushil has been asked to appear before the police officer as a woman has lodged a complaint that he misbehaved with her.
A case for outraging modesty of a woman was registered on Friday against Sushil's driver M. Appa Rao.
The incident had occurred on Thursday evening in posh Banjara Hills neighbourhood when Sushil sitting in his car allegedly intercepted a woman, held hand and tried to drag her inside.
The woman said the driver passed lewd comments and both of them asked her to sit in the car.
After the woman called for help, locals manhandled them. Both were later brought to the police station.
On her complaint, police registered an FIR only against driver Appa Rao but let off Sushil.
Some television channels broke the story on Friday and reported that the minister's son was not named in the FIR.
A counter case has been registered against the mob on a complaint by Appa Rao who alleged that his owner's son was attacked by few people.
Meanwhile, women's organisations have demanded immediate arrest of Sushil. Banajra Hills division corporator Vijayalaxmi met senior police officials and demanded that the minister's son be booked and arrested.
Vijayalaxmi, a leader of Telangana Rashtra Samithi (TRS), said if no action was taken immediately against the minister's son, women would launch massive agitation.