Graham Ford has turned down the Board of Control for Cricket in India's offer to coach the national side.
Kent's Director of Cricket had got the nod ahead of former England spinner John Emburey after both men made presentations for the job in Chennai on Saturday evening.
But Kent, on its web site, announced on Monday that the 46-year-old Ford declined the offer.
Ford, in a statement on the web site, said: "I am very grateful to the club for allowing me to go to India to find out more about the job of coaching the Indian team.
"I have had a chance to reflect on the offer made by the BCCI and their urgency to fill the vacant position and after careful consideration, I have decided to continue my work here at Kent.
"This has been a really difficult decision. I am honoured that India have shown such interest in my capabilities, but feel that this is the right decision for me and my family."
Graham Johnson, Kent's Chairman of Cricket, said: "This is really great news for Kent cricket. We are delighted Graham has decided to stay with us and would like to say how much we appreciate the way Graham has handled the last few days.
"I know that all in the business at Kent, the playing staff, the coaching staff and all our administrators will be thrilled by his decision.
"It also says much about the future vision we have for Kent, the way we conduct our business and how we all play a part in the delivery of that vision, not least through what we do on the field."