The longest American League game to end in a tie was a 24-inning contest between the Detroit Tigers and Philadelphia Athletics on July 21, 1945. The teams were tied 1-1 when the game was called due to darkness at Shibe Park; the Tigers' Les Mueller had pitched a record 19 2/3 innings (and only given up one run) before being taken out in the 20th.
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DETROIT TIGERS
Ty Cobb 1911 40
Ty Cobb 1917 35
Goose Goslin 1934 30
Ron LeFlore 1976 30
Dale Alexander 1930 29
Pete Fox 1935 29
Ron LeFlore 1978 27
Gee Walker 1937 27
Kid Gleason 1901 25
Ty Cobb 1906 25
John Stone 1931 25
Sam Crawford 1909 23
Harry Heilmann 1921 23
Harvey Kuenn 1959 22
Al Kaline 1961 22
Harry Heilmann 1923 21
Ty Cobb 1926 21
Charlie Gehringer 1927 21
Dick Wakefield 1943 21
Kid Gleason 1901 20
Sam Crawford 1903 20
Charlie Gehringer 1937 20
Alan Trammell 1984 20
19 games from July 29, 1975 through August 15, 1975. The Tigers record in 1975 was 57-102.