This is the second time this season that Ranieri, who has also been named Italian coach of the year on the back of Leicester's remarkable season, has won the award.
He saw off competition from West Ham United manager Slaven Bilic, Swansea City boss Francesco Guidolin and Bournemouth's Eddie Howe.
The Foxes began the month with a 2-2 home draw with West Bromwich Albion, followed by three 1-0 wins against Watford, Newcastle United and Crystal Palace.
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Kane netted five times in the league in March to climb to the top of the scoring charts on 22 goals, three ahead of his closest rival, Leicester City's Jamie Vardy.
(The story was refiled to correct Kane's goal tally in paragraph six)
(Reporting by Simon Jennings in Bengaluru; Editing by John O'Brien)
