MLB Scores and Standings Sunday, May 20, 1962
| Los Angeles Angels | 5 | Final |
| Boston Red Sox | 3 |
| W | Ken McBride (3-3) |
| L | Bill Monbouquette (3-4) |
| S | Ryne Duren (6) |
| Los Angeles Angels | 1 | Final |
| Boston Red Sox | 0 |
| W | Bo Belinsky (6-1) |
| L | Don Schwall (1-5) |
| Baltimore Orioles | 3 | Final |
| Chicago White Sox | 8 |
| W | John Buzhardt (5-2) |
| L | Milt Pappas (4-2) |
| Baltimore Orioles | 3 | Final |
| Chicago White Sox | 8 |
| W | Ray Herbert (4-1) |
| L | Chuck Estrada (2-5) |
| S | Frank Baumann (2) |
| Detroit Tigers | 6 | Final |
| Cleveland Indians | 7 |
| W | Bob Allen (1-0) |
| L | Hank Aguirre (1-2) |
| Detroit Tigers | 8 | Final |
| Cleveland Indians | 6 |
| W | Jerry Casale (1-0) |
| L | Sam McDowell (2-3) |
| S | Jim Bunning (3) |
| St. Louis Cardinals | 4 | Final |
| Los Angeles Dodgers | 3 |
| W | Curt Simmons (6-1) |
| L | Joe Moeller (2-4) |
| New York Mets | 7 | Final |
| Milwaukee Braves | 6 |
| W | Ken MacKenzie (2-1) |
| L | Hank Fischer (1-3) |
| S | Craig Anderson (2) |
| New York Mets | 9 | Final |
| Milwaukee Braves | 6 |
| W | Al Jackson (2-4) |
| L | Tony Cloninger (0-1) |
| S | Roger Craig (2) |
| Minnesota Twins | 3 | Final |
| New York Yankees | 4 |
| W | Jim Coates (3-0) |
| L | Ray Moore (1-1) |
| Minnesota Twins | 4 | Final |
| New York Yankees | 2 | (13) |
| W | Ray Moore (2-1) |
| L | Jim Coates (3-1) |
| S | Dick Stigman (2) |
| Chicago Cubs | 6 | Final |
| Philadelphia Phillies | 4 |
| W | Cal Koonce (2-0) |
| L | Jim Owens (1-2) |
| S | Bob Anderson (2) |
| Chicago Cubs | 11 | Final |
| Philadelphia Phillies | 2 |
| W | Bob Buhl (2-2) |
| L | Jack Hamilton (3-3) |
| Cincinnati Reds | 2 | Final |
| Pittsburgh Pirates | 8 |
| W | Vern Law (1-1) |
| L | Joey Jay (5-4) |
| Houston Colt .45s | 6 | Final |
| San Francisco Giants | 5 |
| W | Bob Bruce (2-1) |
| L | Juan Marichal (7-3) |
| S | Turk Farrell (3) |
| Houston Colt .45s | 4 | Final |
| San Francisco Giants | 7 |
| W | Billy Pierce (6-0) |
| L | Hal Woodeshick (2-3) |
| Kansas City Athletics | 1 | Final |
| Washington Senators | 0 |
| W | Ed Rakow (4-2) |
| L | Claude Osteen (0-4) |
| Kansas City Athletics | 5 | Final |
| Washington Senators | 7 |
| W | Tom Cheney (1-1) |
| L | Jim Archer (0-1) |
| S | Bennie Daniels (1) |
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