MLB Scores and Standings Sunday, June 4, 1995
| Houston Astros | 6 | Final |
| Atlanta Braves | 2 |
| W | Shane Reynolds (2-4) |
| L | Tom Glavine (4-2) |
| Oakland Athletics | 14 | Final |
| Baltimore Orioles | 6 |
| W | Dave Stewart (3-4) |
| L | Sid Fernandez (0-3) |
| Seattle Mariners | 1 | Final |
| Boston Red Sox | 2 | (10) |
| W | Tim Wakefield (3-0) |
| L | Bobby Ayala (1-1) |
| Detroit Tigers | 8 | Final |
| Chicago White Sox | 5 |
| W | Brian Maxcy (2-0) |
| L | Roberto Hernández (1-3) |
| S | Mike Henneman (6) |
| St. Louis Cardinals | 0 | Final |
| Cincinnati Reds | 4 |
| W | Pete Schourek (4-2) |
| L | Ken Hill (4-1) |
| Toronto Blue Jays | 8 | Final |
| Cleveland Indians | 9 |
| W | Julián Tavárez (3-0) |
| L | Darren Hall (0-1) |
| Pittsburgh Pirates | 1 | Final |
| Colorado Rockies | 4 |
| W | Joe Grahe (1-1) |
| L | Paul Wagner (1-7) |
| S | Curt Leskanic (1) |
| Chicago Cubs | 5 | Final |
| Florida Marlins | 3 |
| W | Frank Castillo (4-2) |
| L | Chris Hammond (1-1) |
| S | Randy Myers (13) |
| Milwaukee Brewers | 3 | Final |
| Kansas City Royals | 4 |
| W | Hipólito Pichardo (2-1) |
| L | Graeme Lloyd (0-4) |
| S | Jeff Montgomery (7) |
| New York Mets | 3 | Final |
| Los Angeles Dodgers | 5 |
| W | Félix Rodríguez (1-1) |
| L | Jerry Dipoto (0-2) |
| S | Todd Worrell (6) |
| California Angels | 3 | Final |
| New York Yankees | 11 |
| W | Melido Perez (3-2) |
| L | Mark Langston (3-1) |
| Montreal Expos | 4 | Final |
| San Diego Padres | 8 |
| W | Scott Sanders (4-1) |
| L | Butch Henry (0-4) |
| Philadelphia Phillies | 0 | Final |
| San Francisco Giants | 4 |
| W | Mark Leiter (3-1) |
| L | Tyler Green (4-4) |
| Minnesota Twins | 2 | Final |
| Texas Rangers | 7 |
| W | Darren Oliver (2-1) |
| L | Eddie Guardado (0-5) |
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 | 24 | 10 | .706 | -- | 205 | 152 | .634 |
| BOS | 23 | 11 | .676 | 1.0 | 211 | 162 | .619 |
| CAL | 22 | 14 | .611 | 3.0 | 197 | 163 | .586 |
| TEX | 21 | 16 | .568 | 4.5 | 196 | 195 | .502 |
| KCR | 19 | 15 | .559 | 5.0 | 144 | 151 | .478 |
| SEA | 19 | 16 | .543 | 5.5 | 197 | 173 | .559 |
| OAK | 18 | 18 | .500 | 7.0 | 198 | 175 | .556 |
| DET | 16 | 20 | .444 | 9.0 | 187 | 213 | .441 |
| BAL | 15 | 19 | .441 | 9.0 | 166 | 175 | .476 |
| TOR | 15 | 20 | .429 | 9.5 | 185 | 194 | .478 |
| MIL | 15 | 20 | .429 | 9.5 | 161 | 165 | .489 |
| NYY | 14 | 19 | .424 | 9.5 | 156 | 180 | .435 |
| CHW | 13 | 21 | .382 | 11.0 | 192 | 220 | .438 |
| MIN | 11 | 26 | .297 | 14.5 | 175 | 252 | .339 |
NL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| PHI | 24 | 12 | .667 | -- | 161 | 145 | .548 |
| CHC | 22 | 13 | .629 | 1.5 | 171 | 137 | .600 |
| CIN | 22 | 13 | .629 | 1.5 | 188 | 150 | .602 |
| MON | 22 | 16 | .579 | 3.0 | 174 | 162 | .533 |
| SFG | 21 | 16 | .568 | 3.5 | 180 | 167 | .534 |
| COL | 20 | 16 | .556 | 4.0 | 209 | 208 | .502 |
| ATL | 20 | 17 | .541 | 4.5 | 168 | 142 | .576 |
| HOU | 18 | 16 | .529 | 5.0 | 167 | 139 | .583 |
| LAD | 17 | 20 | .459 | 7.5 | 157 | 164 | .480 |
| SDP | 15 | 21 | .417 | 9.0 | 168 | 199 | .423 |
| STL | 15 | 23 | .395 | 10.0 | 172 | 201 | .429 |
| NYM | 14 | 22 | .389 | 10.0 | 155 | 167 | .466 |
| PIT | 13 | 21 | .382 | 10.0 | 132 | 183 | .355 |
| FLA | 9 | 26 | .257 | 14.5 | 145 | 183 | .395 |
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