MLB Scores and Standings Tuesday, June 02, 1981
| Oakland Athletics | 6 | Final |
| Chicago White Sox | 2 |
| W | Steve McCatty (6-4) |
| L | Ross Baumgarten (5-5) |
| Boston Red Sox | 4 | Final |
| Cleveland Indians | 0 |
| W | Dennis Eckersley (5-4) |
| L | Bert Blyleven (6-3) |
| Milwaukee Brewers | 5 | Final |
| Detroit Tigers | 2 |
| W | Mike Caldwell (6-4) |
| L | Dan Petry (2-5) |
| S | Rollie Fingers (10) |
| Seattle Mariners | 4 | Final |
| Kansas City Royals | 3 |
| W | Floyd Bannister (5-5) |
| L | Juan Berenguer (0-4) |
| S | Dick Drago (3) |
| Atlanta Braves | 3 | Final |
| Los Angeles Dodgers | 1 | (10) |
| W | Gaylord Perry (5-3) |
| L | Dave Stewart (3-1) |
| S | Rick Camp (6) |
| Texas Rangers | 5 | Final |
| Minnesota Twins | 3 |
| W | Danny Darwin (6-4) |
| L | Jerry Koosman (3-7) |
| S | Steve Comer (5) |
| Baltimore Orioles | 3 | Final |
| New York Yankees | 5 | (11) |
| W | Rich Gossage (2-1) |
| L | Sammy Stewart (2-2) |
| New York Mets | 7 | Final |
| Philadelphia Phillies | 9 |
| W | Mike Proly (2-0) |
| L | Ed Lynch (1-3) |
| S | Ron Reed (3) |
| Chicago Cubs | 3 | Final |
| Pittsburgh Pirates | 16 |
| W | Eddie Solomon (4-3) |
| L | Bill Caudill (1-5) |
| Houston Astros | 2 | Final |
| San Diego Padres | 1 |
| W | Frank LaCorte (3-1) |
| L | Chris Welsh (2-4) |
| S | Joe Sambito (6) |
| Cincinnati Reds | 7 | Final |
| San Francisco Giants | 15 |
| W | Ed Whitson (2-5) |
| L | Mike LaCoss (2-6) |
| S | Al Holland (4) |
| Montreal Expos | 8 | Final |
| St. Louis Cardinals | 1 |
| W | Ray Burris (3-4) |
| L | Bob Shirley (4-2) |
| California Angels | 3 | Final |
| Toronto Blue Jays | 0 |
| W | Dave Frost (1-0) |
| L | Luis Leal (3-6) |
| S | Andy Hassler (4) |
Standings Up to and Including this Date
AL East Division
AL West Division
NL East Division
AL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| OAK | 32 | 20 | .615 | -- | 220 | 169 | .618 |
| BAL | 28 | 17 | .622 | 0.5 | 206 | 164 | .603 |
| CHW | 26 | 18 | .591 | 2.0 | 219 | 163 | .632 |
| TEX | 27 | 19 | .587 | 2.0 | 219 | 184 | .579 |
| MIL | 28 | 20 | .583 | 2.0 | 222 | 194 | .561 |
| NYY | 27 | 20 | .574 | 2.5 | 178 | 172 | .516 |
| BOS | 26 | 21 | .553 | 3.5 | 226 | 224 | .504 |
| CLE | 23 | 19 | .548 | 4.0 | 154 | 145 | .528 |
| DET | 24 | 25 | .490 | 6.5 | 190 | 205 | .465 |
| CAL | 25 | 27 | .481 | 7.0 | 210 | 221 | .477 |
| KCR | 16 | 26 | .381 | 11.0 | 133 | 185 | .353 |
| SEA | 18 | 31 | .367 | 12.5 | 182 | 241 | .374 |
| TOR | 16 | 34 | .320 | 15.0 | 164 | 210 | .389 |
| MIN | 14 | 33 | .298 | 15.5 | 161 | 207 | .387 |
NL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| LAD | 34 | 16 | .680 | -- | 214 | 142 | .679 |
| PHI | 29 | 19 | .604 | 4.0 | 214 | 199 | .533 |
| MON | 27 | 20 | .574 | 5.5 | 191 | 183 | .520 |
| CIN | 28 | 21 | .571 | 5.5 | 224 | 217 | .515 |
| STL | 24 | 18 | .571 | 6.0 | 200 | 185 | .536 |
| PIT | 21 | 20 | .512 | 8.5 | 183 | 149 | .593 |
| HOU | 25 | 24 | .510 | 8.5 | 164 | 151 | .538 |
| SFG | 26 | 26 | .500 | 9.0 | 201 | 190 | .526 |
| ATL | 23 | 24 | .489 | 9.5 | 185 | 193 | .481 |
| SDP | 19 | 30 | .388 | 14.5 | 169 | 198 | .428 |
| NYM | 15 | 29 | .341 | 16.0 | 158 | 209 | .375 |
| CHC | 10 | 34 | .227 | 21.0 | 143 | 230 | .295 |
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