The transplant was coordinated between Mumbai and Pune for a 22-year-old recipient suffering from intra-cranial bleed and was admitted at Fortis Hospital in suburban Mulund.
The heart came from a 42-year-old donor in Pune's Jehangir Hospital, doctors said.
The journey of the heart, retrieved by Sanjeev Jadhav, Consultant Surgeon, Fortis Hospital, began from Pune, with due consent taken from the donor's family and it was brought here by a chartered flight.
The heart reached Fortis Hospital in 60 minutes after being harvested due to efforts of the Pune and Mumbai Police and airport authorities.
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"This is a momentous occasion for Fortis and the city of Mumbai. I congratulate the medical teams and particularly the traffic authorities at Pune and Mumbai. I'm sure this is the beginning that places our city firmly on the map as far as heart transplants are concerned," Sukhmeet Sandhu, Regional Director, Fortis Healthcare (Region-West & East), said.
"Saving a valuable life made it well worth the effort and we are grateful that the citizens of Mumbai co-operated willingly in this humane endeavour," he said.
"The plane landed at 3.25 pm and the ambulance with the heart was out of the airport within 7 minutes," he said.
"The traffic at all the routes, from where the ambulance was supposed to pass, was halted for few minutes," he added.
The operation started at around 4 pm and concluded by late evening, doctors said.
The well-coordinated efforts from all concerned earned praise from Chief Minister Devendra Fadnavis, who tweeted, "Commendable coordination between Navy, Police, hospitals & citizens for the heart transplant mission in Mumbai.