Jennings moved to Moscow as a 32-year old in 1992, working for Credit Suisse as an investment banker.
He and Russian-American businessman Boris Jordan launched RenCap three years later in the wake of the Soviet Union collapse.
Reuters news agency said Jennings made his name and fortune "as a risk taker and dealmaker who rebuilt twice after market crashes".
Renaissance suffered a big hit in 1998 and then 2008, when half the company was sold to Prokhorov for $500 million.
Jennings made headlines in August after allegedly refusing to cut down trees on his Taranaki property, which a neighbour said were blocking his view of the sea.
He was at one point the richest kiwi in the world, estimated by Forbes magazine to be worth $5.2 billion.