MLB Scores and Standings Tuesday, June 01, 2021
| Chicago White Sox | 5 | Final |
| Cleveland Indians | 6 |
| W | Shane Bieber (6-3) |
| L | Dylan Cease (3-2) |
| S | James Karinchak (7) |
| Minnesota Twins | 4 | Final |
| Baltimore Orioles | 7 |
| W | Bruce Zimmermann (3-3) |
| L | Michael Pineda (3-3) |
| S | Cole Sulser (1) |
| Tampa Bay Rays | 3 | Final |
| New York Yankees | 5 | (11) |
| W | Luis Cessa (1-0) |
| L | Andrew Kittredge (5-1) |
| Miami Marlins | 1 | Final |
| Toronto Blue Jays | 5 |
| W | Robbie Ray (3-2) |
| L | Sandy Alcantara (2-5) |
| Philadelphia Phillies | 17 | Final |
| Cincinnati Reds | 3 |
| W | Aaron Nola (4-4) |
| L | Sonny Gray (1-4) |
| Washington Nationals | 11 | Final |
| Atlanta Braves | 6 |
| W | Austin Voth (2-0) |
| L | Max Fried (2-3) |
| Detroit Tigers | 10 | Final |
| Milwaukee Brewers | 7 |
| W | Derek Holland (1-1) |
| L | Eric Lauer (1-2) |
| San Diego Padres | 3 | Final |
| Chicago Cubs | 4 |
| W | Kyle Hendricks (6-4) |
| L | Ryan Weathers (2-2) |
| S | Craig Kimbrel (13) |
| Boston Red Sox | 1 | Final |
| Houston Astros | 5 |
| W | Luis Garcia (4-3) |
| L | Garrett Richards (4-4) |
| Pittsburgh Pirates | 5 | Final |
| Kansas City Royals | 10 |
| W | Brady Singer (3-4) |
| L | Wil Crowe (0-4) |
| Texas Rangers | 2 | Final |
| Colorado Rockies | 3 | (11) |
| W | Mychal Givens (2-2) |
| L | Brett Martin (0-2) |
| New York Mets | 5 | Final |
| Arizona Diamondbacks | 6 | (10) |
| W | Alex Young (2-4) |
| L | Trevor May (2-2) |
| Los Angeles Angels | 8 | Final |
| San Francisco Giants | 1 |
| W | Andrew Heaney (3-3) |
| L | Alex Wood (5-3) |
| St. Louis Cardinals | 3 | Final |
| Los Angeles Dodgers | 2 |
| W | Giovanny Gallegos (3-1) |
| L | Blake Treinen (1-2) |
| S | Alex Reyes (16) |
| Oakland Athletics | 12 | Final |
| Seattle Mariners | 6 |
| W | JesĂşs Luzardo (2-3) |
| L | Paul Sewald (2-1) |
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% | |
|---|---|---|---|---|---|---|---|
| TBR | 35 | 21 | .625 | -- | 276 | 215 | .612 |
| CHW | 33 | 22 | .600 | 1.5 | 272 | 193 | .652 |
| BOS | 32 | 22 | .593 | 2.0 | 270 | 229 | .575 |
| OAK | 32 | 25 | .561 | 3.5 | 243 | 248 | .491 |
| HOU | 30 | 24 | .556 | 4.0 | 289 | 228 | .607 |
| CLE | 30 | 24 | .556 | 4.0 | 215 | 221 | .487 |
| NYY | 30 | 25 | .545 | 4.5 | 207 | 197 | .523 |
| TOR | 28 | 25 | .528 | 5.5 | 266 | 220 | .586 |
| KCR | 27 | 26 | .509 | 6.5 | 228 | 242 | .473 |
| SEA | 28 | 28 | .500 | 7.0 | 214 | 262 | .408 |
| LAA | 25 | 30 | .455 | 9.5 | 247 | 289 | .429 |
| DET | 23 | 32 | .418 | 11.5 | 204 | 256 | .398 |
| MIN | 22 | 32 | .407 | 12.0 | 250 | 274 | .458 |
| TEX | 22 | 34 | .393 | 13.0 | 223 | 257 | .435 |
| BAL | 18 | 37 | .327 | 16.5 | 209 | 274 | .379 |
NL Overall
| Tm | W | L | GB | RS | RA | pythW-L% | |
|---|---|---|---|---|---|---|---|
| SFG | 34 | 21 | .618 | -- | 262 | 200 | .621 |
| SDP | 34 | 22 | .607 | 0.5 | 267 | 187 | .657 |
| LAD | 32 | 23 | .582 | 2.0 | 284 | 212 | .631 |
| CHC | 31 | 23 | .574 | 2.5 | 249 | 216 | .565 |
| STL | 31 | 24 | .564 | 3.0 | 236 | 235 | .502 |
| NYM | 27 | 21 | .563 | 3.5 | 178 | 172 | .516 |
| MIL | 29 | 26 | .527 | 5.0 | 210 | 225 | .468 |
| ATL | 25 | 27 | .481 | 7.5 | 254 | 259 | .491 |
| PHI | 26 | 29 | .473 | 8.0 | 227 | 246 | .463 |
| CIN | 24 | 29 | .453 | 9.0 | 259 | 289 | .450 |
| MIA | 24 | 30 | .444 | 9.5 | 207 | 202 | .511 |
| WSN | 22 | 29 | .431 | 10.0 | 199 | 220 | .454 |
| COL | 21 | 34 | .382 | 13.0 | 231 | 273 | .424 |
| PIT | 20 | 34 | .370 | 13.5 | 183 | 266 | .335 |
| ARI | 20 | 36 | .357 | 14.5 | 245 | 297 | .413 |


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