MLB Scores and Standings Tuesday, June 04, 1996
| New York Mets | 12 | Final |
| Atlanta Braves | 6 |
| W | Paul Wilson (3-5) |
| L | Jason Schmidt (2-2) |
| Detroit Tigers | 7 | Final |
| Baltimore Orioles | 10 |
| W | Mike Mussina (8-2) |
| L | Greg Gohr (3-7) |
| S | Randy Myers (11) |
| Chicago White Sox | 6 | Final |
| Boston Red Sox | 4 |
| W | Wilson Álvarez (7-3) |
| L | Eric Gunderson (0-1) |
| S | Roberto Hernández (17) |
| Philadelphia Phillies | 12 | Final |
| Chicago Cubs | 3 |
| W | Mike Williams (1-4) |
| L | Jim Bullinger (3-5) |
| San Francisco Giants | 1 | Final |
| Cincinnati Reds | 4 |
| W | Roger Salkeld (2-1) |
| L | Allen Watson (5-6) |
| S | Jeff Brantley (13) |
| Seattle Mariners | 10 | Final |
| Cleveland Indians | 7 |
| W | Rafael Carmona (2-0) |
| L | José Mesa (0-1) |
| S | Norm Charlton (7) |
| Montreal Expos | 0 | Final |
| Florida Marlins | 5 |
| W | John Burkett (4-6) |
| L | Kirk Rueter (2-3) |
| Colorado Rockies | 8 | Final |
| Houston Astros | 16 |
| W | Mike Hampton (4-3) |
| L | Mark Thompson (3-5) |
| Pittsburgh Pirates | 3 | Final |
| Los Angeles Dodgers | 0 |
| W | Danny Darwin (3-6) |
| L | Hideo Nomo (6-5) |
| S | Francisco Córdova (6) |
| Texas Rangers | 2 | Final |
| Milwaukee Brewers | 6 |
| W | Ricky Bones (4-8) |
| L | Kevin Gross (5-4) |
| California Angels | 3 | Final |
| Minnesota Twins | 5 |
| W | Frankie Rodriguez (4-6) |
| L | Jason Grimsley (3-5) |
| S | Eddie Guardado (1) |
| Toronto Blue Jays | 4 | Final |
| New York Yankees | 5 |
| W | Dwight Gooden (4-4) |
| L | Erik Hanson (6-7) |
| S | John Wetteland (13) |
| Kansas City Royals | 3 | Final |
| Oakland Athletics | 8 |
| W | Don Wengert (2-2) |
| L | Mark Gubicza (4-8) |
| St. Louis Cardinals | 11 | Final |
| San Diego Padres | 5 |
| W | Mark Petkovsek (4-0) |
| L | Tim Worrell (4-1) |
Standings Up to and Including this Date
AL East Division
AL Central Division
AL West Division
NL East Division
NL Central Division
AL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| CLE | 36 | 19 | .655 | -- | 325 | 262 | .597 |
| CHW | 35 | 20 | .636 | 1.0 | 336 | 233 | .661 |
| TEX | 35 | 22 | .614 | 2.0 | 329 | 265 | .598 |
| NYY | 32 | 21 | .604 | 3.0 | 295 | 250 | .575 |
| BAL | 30 | 23 | .566 | 5.0 | 322 | 314 | .512 |
| SEA | 30 | 25 | .545 | 6.0 | 344 | 305 | .555 |
| MIN | 27 | 28 | .491 | 9.0 | 301 | 295 | .509 |
| CAL | 27 | 29 | .482 | 9.5 | 258 | 309 | .418 |
| OAK | 26 | 30 | .464 | 10.5 | 282 | 308 | .460 |
| MIL | 25 | 30 | .455 | 11.0 | 320 | 308 | .517 |
| TOR | 25 | 31 | .446 | 11.5 | 287 | 302 | .477 |
| KCR | 25 | 33 | .431 | 12.5 | 250 | 289 | .434 |
| BOS | 22 | 33 | .400 | 14.0 | 308 | 335 | .462 |
| DET | 13 | 44 | .228 | 24.0 | 250 | 432 | .269 |
NL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| ATL | 37 | 19 | .661 | -- | 299 | 188 | .700 |
| SDP | 35 | 23 | .603 | 3.0 | 295 | 221 | .629 |
| MON | 32 | 25 | .561 | 5.5 | 297 | 249 | .580 |
| LAD | 30 | 28 | .517 | 8.0 | 224 | 204 | .543 |
| FLA | 29 | 28 | .509 | 8.5 | 215 | 229 | .471 |
| PHI | 28 | 28 | .500 | 9.0 | 252 | 255 | .495 |
| SFG | 28 | 28 | .500 | 9.0 | 280 | 301 | .467 |
| STL | 28 | 29 | .491 | 9.5 | 261 | 290 | .452 |
| HOU | 28 | 30 | .483 | 10.0 | 289 | 294 | .492 |
| COL | 26 | 28 | .481 | 10.0 | 298 | 345 | .433 |
| NYM | 24 | 32 | .429 | 13.0 | 252 | 269 | .470 |
| CHC | 24 | 33 | .421 | 13.5 | 249 | 280 | .447 |
| PIT | 24 | 33 | .421 | 13.5 | 257 | 288 | .448 |
| CIN | 21 | 30 | .412 | 13.5 | 231 | 286 | .404 |


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