Denkinger umpired in four World Series: 1974, 1980, 1985 and 1991, serving as crew chief the latter two years. Denkinger also umpired in the All-Star Game in 1971, 1976 and 1987, calling balls and strikes for the last game. He officiated in six American League Championship Series (1972, 1975, 1979, 1982, 1988, 1992), serving as crew chief in 1979, 1982, 1988 and 1992, and in the 1981 and 1995 AL Division Series. He was the home plate umpire for the 1978 American League East tie-breaker game that decided the AL East champion, as the New York Yankees defeated the Boston Red Sox.