The accused Ram Kumar is reportedly an engineer.
According to reports, Ram Kumar, tried to kill himself when the police surrounded him.
Earlier on Friday, last week, the 24-year-old woman employee of Infosys was hacked to death at Chennai's Nungambakkam railway station at 6.30 a.m.
Swathi was on her way to work at Mahindra City, about 60 km south of Chennai.
The Chennai Police had released a high-resolution image of the suspect in the murder.
On Monday, the case was transferred from railway police to the Chennai police after Madras High Court's intervention. The police had discovered that the killer was a young man who was following Swathi since May.
Police reportedly took the help of a Hyderabad-based digital forensic firm to take out high-resolution pictures of the accused.