The Los Angeles Dodgers ace beat out Miami slugger Giancarlo Stanton and Pittsburgh outfielder Andrew McCutchen for the honor announced Thursday.
Bob Gibson in 1968 was the previous pitcher to be the NL MVP. Detroit pitcher Justin Verlander won the AL MVP in 2011.
Kershaw unanimously won the NL Cy Young Award on Wednesday. He led the majors in wins and ERA while going 21-3 with a 1.77 ERA and throwing a no-hitter.
Kershaw got 18 of 30 first-place votes and 355 points in balloting by members of the Baseball Writers’ Association of America.
Stanton got eight first-place ballots and 298 points. McCutchen got four first and 271 points.
Los Angeles Angels outfielder Mike Trout unanimously won the AL MVP earlier in the day.