MLB Scores and Standings Tuesday, June 04, 1991
| Philadelphia Phillies | 5 | Final |
| Atlanta Braves | 9 |
| W | Tom Glavine (9-2) |
| L | Terry Mulholland (6-4) |
| Boston Red Sox | 0 | Final |
| California Angels | 3 |
| W | Chuck Finley (9-2) |
| L | Tom Bolton (5-3) |
| San Diego Padres | 7 | Final |
| Chicago Cubs | 1 |
| W | Andy Benes (3-6) |
| L | Bob Scanlan (2-2) |
| New York Mets | 4 | Final |
| Cincinnati Reds | 2 |
| W | David Cone (6-3) |
| L | Chris Hammond (3-4) |
| S | John Franco (11) |
| Chicago White Sox | 4 | Final |
| Cleveland Indians | 1 |
| W | Jack McDowell (6-3) |
| L | Rod Nichols (0-4) |
| Seattle Mariners | 8 | Final |
| Detroit Tigers | 6 |
| W | Brian Holman (6-5) |
| L | John Cerutti (0-2) |
| S | Mike Jackson (6) |
| Montreal Expos | 4 | Final |
| Houston Astros | 1 |
| W | Mark Gardner (1-2) |
| L | Pete Harnisch (3-4) |
| S | Barry Jones (3) |
| Texas Rangers | 1 | Final |
| Kansas City Royals | 4 |
| W | Mike Boddicker (4-4) |
| L | José Guzmán (0-2) |
| S | Jeff Montgomery (10) |
| Baltimore Orioles | 3 | Final |
| Minnesota Twins | 4 | (10) |
| W | Carl Willis (2-1) |
| L | Gregg Olson (0-2) |
| Toronto Blue Jays | 3 | Final |
| New York Yankees | 5 |
| W | Scott Sanderson (7-2) |
| L | Todd Stottlemyre (5-2) |
| S | Steve Farr (4) |
| Milwaukee Brewers | 3 | Final |
| Oakland Athletics | 4 |
| W | Bob Welch (5-3) |
| L | Jaime Navarro (5-3) |
| S | Dennis Eckersley (16) |
| San Francisco Giants | 5 | Final |
| Pittsburgh Pirates | 3 |
| W | John Burkett (3-3) |
| L | Zane Smith (7-3) |
| S | Dave Righetti (3) |
| Los Angeles Dodgers | 2 | Final |
| St. Louis Cardinals | 3 | (11) |
| W | Lee Smith (3-2) |
| L | Jim Gott (0-1) |
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 | 31 | 20 | .608 | -- | 261 | 247 | .525 |
| CAL | 29 | 21 | .580 | 1.5 | 234 | 188 | .599 |
| TEX | 26 | 19 | .578 | 2.0 | 238 | 210 | .557 |
| SEA | 27 | 23 | .540 | 3.5 | 219 | 209 | .521 |
| TOR | 28 | 24 | .538 | 3.5 | 219 | 203 | .535 |
| BOS | 26 | 23 | .531 | 4.0 | 204 | 204 | .500 |
| MIN | 27 | 25 | .519 | 4.5 | 215 | 212 | .506 |
| CHW | 23 | 25 | .479 | 6.5 | 192 | 229 | .420 |
| MIL | 23 | 26 | .469 | 7.0 | 223 | 220 | .506 |
| DET | 23 | 27 | .460 | 7.5 | 252 | 246 | .511 |
| NYY | 22 | 26 | .458 | 7.5 | 208 | 218 | .479 |
| KCR | 22 | 27 | .449 | 8.0 | 182 | 197 | .464 |
| CLE | 20 | 28 | .417 | 9.5 | 179 | 192 | .468 |
| BAL | 18 | 31 | .367 | 12.0 | 185 | 236 | .390 |
NL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| PIT | 32 | 16 | .667 | -- | 229 | 179 | .611 |
| NYM | 27 | 21 | .563 | 5.0 | 205 | 186 | .544 |
| LAD | 28 | 22 | .560 | 5.0 | 214 | 173 | .596 |
| ATL | 26 | 21 | .553 | 5.5 | 232 | 181 | .612 |
| STL | 27 | 22 | .551 | 5.5 | 215 | 204 | .524 |
| CHC | 26 | 24 | .520 | 7.0 | 207 | 210 | .493 |
| SDP | 27 | 25 | .519 | 7.0 | 212 | 234 | .455 |
| CIN | 24 | 25 | .490 | 8.5 | 171 | 188 | .457 |
| PHI | 22 | 28 | .440 | 11.0 | 194 | 200 | .486 |
| MON | 21 | 29 | .420 | 12.0 | 170 | 201 | .424 |
| SFG | 19 | 32 | .373 | 14.5 | 197 | 227 | .436 |
| HOU | 18 | 32 | .360 | 15.0 | 162 | 225 | .354 |
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