MLB Scores and Standings Monday, June 05, 1995
| Chicago Cubs | 5 | Final |
| Atlanta Braves | 7 |
| W | Steve Bedrosian (1-2) |
| L | Bryan Hickerson (0-2) |
| S | Mark Wohlers (1) |
| Seattle Mariners | 2 | Final |
| Baltimore Orioles | 0 |
| W | Randy Johnson (6-0) |
| L | Ben McDonald (1-3) |
| California Angels | 2 | Final |
| Boston Red Sox | 3 |
| W | Erik Hanson (6-0) |
| L | Mike Bielecki (2-2) |
| S | Ken Ryan (7) |
| Toronto Blue Jays | 2 | Final |
| Chicago White Sox | 3 |
| W | Jim Abbott (3-2) |
| L | Juan Guzmán (0-2) |
| S | Roberto Hernández (9) |
| Pittsburgh Pirates | 2 | Final |
| Cincinnati Reds | 3 |
| W | John Smiley (4-0) |
| L | Denny Neagle (5-2) |
| S | Jeff Brantley (5) |
| Detroit Tigers | 0 | Final |
| Cleveland Indians | 8 |
| W | Orel Hershiser (5-1) |
| L | Sean Bergman (1-4) |
| St. Louis Cardinals | 9 | Final |
| Colorado Rockies | 5 |
| W | Mark Petkovsek (1-1) |
| L | Juan Acevedo (3-4) |
| Florida Marlins | 5 | Final |
| Houston Astros | 6 |
| W | Dave Veres (2-1) |
| L | Robb Nen (0-4) |
| Montreal Expos | 1 | Final |
| Los Angeles Dodgers | 3 |
| W | Ramón Martínez (6-3) |
| L | Gil Heredia (3-4) |
| S | Todd Worrell (7) |
| Oakland Athletics | 11 | Final |
| New York Yankees | 5 |
| W | Ron Darling (2-2) |
| L | Sterling Hitchcock (2-4) |
| Philadelphia Phillies | 4 | Final |
| San Diego Padres | 5 | (10) |
| W | Trevor Hoffman (4-1) |
| L | Norm Charlton (2-3) |
| New York Mets | 7 | Final |
| San Francisco Giants | 2 |
| W | Bobby Jones (4-2) |
| L | Terry Mulholland (2-6) |
| Kansas City Royals | 4 | Final |
| Texas Rangers | 1 |
| W | Kevin Appier (7-2) |
| L | Bob Tewksbury (4-2) |
| S | Jeff Montgomery (8) |
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 | 25 | 10 | .714 | -- | 213 | 152 | .650 |
| BOS | 24 | 11 | .686 | 1.0 | 214 | 164 | .619 |
| CAL | 22 | 15 | .595 | 4.0 | 199 | 166 | .582 |
| KCR | 20 | 15 | .571 | 5.0 | 148 | 152 | .488 |
| SEA | 20 | 16 | .556 | 5.5 | 199 | 173 | .564 |
| TEX | 21 | 17 | .553 | 5.5 | 197 | 199 | .495 |
| OAK | 19 | 18 | .514 | 7.0 | 209 | 180 | .568 |
| DET | 16 | 21 | .432 | 10.0 | 187 | 221 | .424 |
| BAL | 15 | 20 | .429 | 10.0 | 166 | 177 | .471 |
| MIL | 15 | 20 | .429 | 10.0 | 161 | 165 | .489 |
| TOR | 15 | 21 | .417 | 10.5 | 187 | 197 | .476 |
| NYY | 14 | 20 | .412 | 10.5 | 161 | 191 | .422 |
| CHW | 14 | 21 | .400 | 11.0 | 195 | 222 | .441 |
| MIN | 11 | 26 | .297 | 15.0 | 175 | 252 | .339 |
NL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| PHI | 24 | 13 | .649 | -- | 165 | 150 | .543 |
| CIN | 23 | 13 | .639 | 0.5 | 191 | 152 | .603 |
| CHC | 22 | 14 | .611 | 1.5 | 176 | 144 | .591 |
| MON | 22 | 17 | .564 | 3.0 | 175 | 165 | .527 |
| SFG | 21 | 17 | .553 | 3.5 | 182 | 174 | .521 |
| ATL | 21 | 17 | .553 | 3.5 | 175 | 147 | .579 |
| HOU | 19 | 16 | .543 | 4.0 | 173 | 144 | .583 |
| COL | 20 | 17 | .541 | 4.0 | 214 | 217 | .494 |
| LAD | 18 | 20 | .474 | 6.5 | 160 | 165 | .486 |
| SDP | 16 | 21 | .432 | 8.0 | 173 | 203 | .427 |
| STL | 16 | 23 | .410 | 9.0 | 181 | 206 | .441 |
| NYM | 15 | 22 | .405 | 9.0 | 162 | 169 | .481 |
| PIT | 13 | 22 | .371 | 10.0 | 134 | 186 | .354 |
| FLA | 9 | 27 | .250 | 14.5 | 150 | 189 | .396 |
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