The girl was admitted to the Post Graduate Institute of Medical Education and Research (PGIMER) for a corrective heart surgery.
The girl, who was on a ventilator support, had tested positive for coronavirus on Tuesday.
She had a congenital heart defect, officials said.
A PGIMER spokesperson said died at 12.47 pm on Thursday.
She was first treated at Phagwara and then at a Ludhiana hospital. She was later referred to the PGIMER, officials said.
She was admitted to the Advanced Paediatric Centre on April 9 but was later shifted to the COVID facility at Nehru Hospital Extension, they said. CHS VSD RDKRDK