MVP and CY award winners same team, same year.

Including same player for both awards through 2017.
MVP started 1931. CY started 1956; through 1966 only one for MLB.

AwardMVP_CY

yearID	teamID	MVP1	MVP2	CY1	CY2
1956	BRO	Don	Newcombe	Don	Newcombe
1957	ML1	Hank	Aaron	Warren	Spahn
1959	CHA	Nellie	Fox	Early	Wynn
1960	PIT	Dick	Groat	Vern	Law
1961	NYA	Roger	Maris	Whitey	Ford
1962	LAN	Maury	Wills	Don	Drysdale
1963	LAN	Sandy	Koufax	Sandy	Koufax
1967	BOS	Carl	Yastrzemski	Jim	Lonborg
1968	SLN	Bob	Gibson	Bob	Gibson
1968	DET	Denny	McLain	Denny	McLain
1971	OAK	Vida	Blue	Vida	Blue
1974	LAN	Steve	Garvey	Mike	Marshall
1980	PHI	Mike	Schmidt	Steve	Carlton
1981	ML4	Rollie	Fingers	Rollie	Fingers
1982	ML4	Robin	Yount	Pete	Vuckovich
1984	DET	Willie	Hernandez	Willie	Hernandez
1984	CHN	Ryne	Sandberg	Rick	Sutcliffe
1986	BOS	Roger	Clemens	Roger	Clemens
1988	LAN	Kirk	Gibson	Orel	Hershiser
1990	OAK	Rickey	Henderson	Bob	Welch
1990	PIT	Barry	Bonds	Doug	Drabek
1991	ATL	Terry	Pendleton	Tom	Glavine
1992	OAK	Dennis	Eckersley	Dennis	Eckersley
1993	CHA	Frank	Thomas	Jack	McDowell
2002	OAK	Miguel	Tejada	Barry	Zito
2005	SLN	Albert	Pujols	Chris	Carpenter
2006	MIN	Justin	Morneau	Johan	Santana
2011	DET	Justin	Verlander	Justin	Verlander
2013	DET	Miguel	Cabrera	Max	Scherzer
2014	LAN	Clayton	Kershaw	Clayton	Kershaw