Health authorities would also inquire the reasons as to why proper treatment was not being given to the patient, he said.
The victim, Reeda Shaikh, died at Pune's Jehangir Hospital yesterday, becoming India's first swine flu fatality.
The girl was admitted to the private hospital a week ago with symptoms of the disease.
Chavan also appealed people to co-operate with the health officials and not fall prey to any rumours.
He directed officials to take all possible steps to effectively deal with the swine flu cases that has crossed the 100 mark in Maharashtra, most of them being from Pune.