Arun Jaitley, 65, was admitted to the hospital on Saturday. At 8 am this morning he was taken to the operation theatre for the surgery, sources told news agency PTI.
Mr Jaitley has been suffering from a kidney ailment, and has undergone dialysis for the last one month.
According to sources, nephrologist Dr Sandeep Guleria from Apollo Hospital, also the brother of AIIMS Director Randeep Guleria, who is a family friend of Mr Jaitley, is part of the team performing the transplant.
The kidney transplant was successful and the minister's condition is now stable.
The minister, who cancelled his scheduled visit to London for the 10th India-UK Economic and Financial Dialogue next week, had confirmed his illness in a tweet on April 6. "I am being treated for kidney related problems and certain infections that I have contracted," he had tweeted.
I am being treated for kidney related problems & certain infections that I have contracted. I am therefore currently working from controlled environment at home. The future course of my treatment would be determined by the doctors treating me.- Arun Jaitley (@arunjaitley) April 5, 2018
Mr Jaitley did not elaborate but said he was "currently working from a controlled environment at home".
"The future course of my treatment would be determined by the doctors treating me," he had said.
In September 2014, Mr Jaitley underwent a bariatric surgery to treat weight gain because of a long-standing diabetic condition. The surgery was first performed at Max Hospital, but he had to be later shifted to AIIMS because of complications.