The three people, including a woman working in a nationalised bank inside the Punjab University (PU) campus, died Monday, Dec 21.
The two others who died were from towns in Punjab and Haryana.
"We have informed the health officials of Punjab and Haryana about these deaths and told them to quarantine people who were in close contact with the deceased," officiating nodal officer of swine flu G C Bansal said.
"Five more patients have tested positive for swine flu. We have diagnosed them and their condition is stable," Bansal said.
So far nearly 700 suspected cases of swine flu have been screened in Chandigarh. Of these, over 290 patients tested positive.