No completed MLB games for June 1, 2020.
American League
| East | W | L | Pct | GB | Strk |
|---|
| Yankees | 103 | 59 | .636 | - | L2 |
| Rays | 96 | 66 | .593 | 7 | L2 |
| Red Sox | 84 | 78 | .519 | 19 | W1 |
| Blue Jays | 67 | 95 | .414 | 36 | W2 |
| Orioles | 54 | 108 | .333 | 49 | L1 |
| Central | W | L | Pct | GB | Strk |
|---|
| Twins | 101 | 61 | .623 | - | L1 |
| Indians | 93 | 69 | .574 | 8 | L5 |
| White Sox | 72 | 89 | .447 | 28.5 | W1 |
| Royals | 59 | 103 | .364 | 42 | W1 |
| Tigers | 47 | 114 | .292 | 53.5 | L1 |
| West | W | L | Pct | GB | Strk |
|---|
| Astros | 107 | 55 | .660 | - | W3 |
| Rangers | 78 | 84 | .481 | 29 | W2 |
| Angels | 72 | 90 | .444 | 35 | L3 |
| Mariners | 68 | 94 | .420 | 39 | W1 |
National League
| East | W | L | Pct | GB | Strk |
|---|
| Braves | 97 | 65 | .599 | - | L3 |
| Nationals | 93 | 69 | .574 | 4 | W8 |
| Mets | 86 | 76 | .531 | 11 | W3 |
| Phillies | 81 | 81 | .500 | 16 | L1 |
| Marlins | 57 | 105 | .352 | 40 | W1 |
| Central | W | L | Pct | GB | Strk |
|---|
| Cardinals | 91 | 71 | .562 | - | W1 |
| Brewers | 89 | 73 | .549 | 2 | L3 |
| Cubs | 84 | 78 | .519 | 7 | L1 |
| Reds | 75 | 87 | .463 | 16 | W2 |
| Pirates | 69 | 93 | .426 | 22 | L2 |
| West | W | L | Pct | GB | Strk |
|---|
| Dodgers | 106 | 56 | .654 | - | W7 |
| Diamondbacks | 85 | 77 | .525 | 21 | W5 |
| Giants | 77 | 85 | .475 | 29 | L3 |
| Rockies | 71 | 91 | .438 | 35 | W3 |
| Padres | 70 | 92 | .432 | 36 | L6 |
American League
| Wild Card | W | L | Pct | WCGB | Strk |
|---|
| Athletics | 97 | 65 | .599 | +4 | L1 |
| Rays | 96 | 66 | .593 | +3 | L2 |
| Indians | 93 | 69 | .574 | - | L5 |
| Red Sox | 84 | 78 | .519 | 9 | W1 |
| Rangers | 78 | 84 | .481 | 15 | W2 |
| White Sox | 72 | 89 | .447 | 20.5 | W1 |
| Angels | 72 | 90 | .444 | 21 | L3 |
| Mariners | 68 | 94 | .420 | 25 | W1 |
| Blue Jays | 67 | 95 | .414 | 26 | W2 |
| Royals | 59 | 103 | .364 | 34 | W1 |
| Orioles | 54 | 108 | .333 | 39 | L1 |
| Tigers | 47 | 114 | .292 | 45.5 | L1 |
National League
| Wild Card | W | L | Pct | WCGB | Strk |
|---|
| Nationals | 93 | 69 | .574 | +7 | W8 |
| Brewers | 89 | 73 | .549 | +3 | L3 |
| Mets | 86 | 76 | .531 | - | W3 |
| Diamondbacks | 85 | 77 | .525 | 1 | W5 |
| Cubs | 84 | 78 | .519 | 2 | L1 |
| Phillies | 81 | 81 | .500 | 5 | L1 |
| Giants | 77 | 85 | .475 | 9 | L3 |
| Reds | 75 | 87 | .463 | 11 | W2 |
| Rockies | 71 | 91 | .438 | 15 | W3 |
| Padres | 70 | 92 | .432 | 16 | L6 |
| Pirates | 69 | 93 | .426 | 17 | L2 |
| Marlins | 57 | 105 | .352 | 29 | W1 |