The two patients at Kiltan Island were a nine-month-old baby girl with a broken hand and a 70-year-old woman with a hip bone fracture, and required specialised treatment, a Navy official said.
A Helicopter was launched from the Indian Naval Air Station, Garuda, which evacuated both the patients along with the baby girl's parents, he said.
Meanwhile, a Navy Dornier aircraft was positioned at Agatti. The patients and attendants were moved to the Dornier and flown to Kochi.
"The helicopter was flown by Lieutenant Colonel Y K Ajit Singh, Lieutenant Commander S S Dash and R K Sharma whereas the Dornier aircraft was flown by Commander V V Mani and Lieutenant R C Vishnu," he said.
Meanwhile, the life of a person, who suffered a heart attack in Minicoy could not be saved despite efforts by island administration and Navy.
A Navy chopper was deployed to airlift the patient from the island, but he died before help could reach him, officials said.