Kim made these remarks during a telephonic conversation with Prime Minister Narendra Modi, a statement from the Prime Minister's Office said here.
Kim congratulated the prime minister for India's "historic rise" in the ranking.
He said it is remarkable that a nation of over 1.25 billion people has achieved a rise of 65 ranks in a short period of four years.
He also that this has been made possible, in large measure, due to the unwavering commitment and leadership of Prime Minister Modi. He described this as a historic, and unprecedented achievement, the statement said quoting him.
Kim promised the World Bank's "unflinching and continued support" to India's initiatives on ease of doing business.
Modi thanked the World Bank president for the institution's continued guidance and support in India's efforts to improve ease of doing business.
He added that the World Bank's rankings are a source of inspiration for India, in its quest to improve ease of doing business, the statement said.
(With inputs from agencies.)