The woman had accused Vikas Barala, son of Haryana BJP Chief Subhash Barala, and his friend Ashish Kumar of stalking her last night after which they were arrested, the police said.
"We arrested both Vikas and Ashish and later they were bailed out," Deputy Superintendent of Police (DSP), Chandigarh, Satish Kumar said.
He said the complainant had been asked to record her statement before the Illaka (area) magistrate in Chandigarh, adding that she is the daughter of an IAS officer.
The DSP said more sections could be added after the statement of the woman is recorded.
Both were booked under section 354 D (stalking) of IPC and 185 of the Motor Vehicle Act (driving by a drunken person or by a person under the influence of drugs), the police said.
The case was registered at Sector 26 police station.
The police said both the accused have been called for questioning and investigation is underway.