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| Date | Opponents | Time/Result | Pitchers | HRs |
| Jun. 2 | at Chi.Cubs | L 0-2 | Nomo(L,2-4)-Patterson-Brocail | |
| Jun. 3 | at Chi.Cubs | W 5-3 | Weaver(W,2-5)-Blair-Anderson-Jones(S,15) | Palmer(11) |
| Jun. 4 | at Chi.Cubs | W 3-2 (12) | Moehler-Patterson-Blair-Anderson(W,3-0)-Jones(S,16) | Higginson(6)|
| Jun. 5 | at Pittsburgh | L 1-5 | Mlicki(L,2-7)-Mcdill-Nitcowski | |
| Jun. 6 | at Pittsburgh | W 2-1 | Blair-Nitcowski(W,3-7)-Patterson-Brocail-Jones(S,17) | Cruz(2) |
| Jun. 7 | at Pittsburgh | L 3-4 | Nomo(L,2-5)-Nitcowski-Anderson | |
| Jun. 9 | St.Louis | W 4-2 | Weaver(W,3-5)-Jones(S,18) | Palmer(12) |
| Jun.10 | St.Louis | W 10-1 | Moehler(W,3-3)-Brocail-Mcdill | Ausmus(3);Palmer(13);Easley(2) |
| Jun.11 | St.Louis | L 3-7 | ||
| Jun.12 | Toronto | L 2-4 | Nomo(L,2-6)-Nitcowski-Patterson | Higginson(7) |
| Jun.13 | Toronto | W 16-3 | Blair(W,3-1)-Brocail-Jones | Ausmus(4);Gonzalez(10);Higginson(8,9) |
| Jun.14 | Toronto | L 1-8 | Weaver(L,3-6)-Mcdill-Mlicki-Anderson-Nitcowski | |
| Jun.16 | Cleveland | W 5-2 | Moehler(W,4-3)-Patterson-Brocail-Jones(S,19) | Palmer(14);Clark(5);Higginson(10);Gonzalez(11) |
| Jun.17 | Cleveland | W 8-6 | Nomo-Nitcowski-Brocail(W,3-3) | Gonzalez(12);Higginson(11);Magee(4) |
| Jun.18 | Cleveland | L 4-9 | Blair-Anderson-Patterson(L,2-1)-Mcdill-Mlicki | Becker(3) |
| Jun.20 | at Toronto | W 18-6 | Weaver(W,4-6)-Nitcowski-Patterson-Sparks | Becker(4);Fick(1);Clark(6,7);Cruz(3);Higginson(12);Encarnacion(6);Gonzalez(13) |
| Jun.21 | at Toronto | L 0-6 | Moehler(L,4-4)-Anderson-Jones | |
| Jun.22 | at Toronto | L 4-7 | Nomo(L,2-7) | Clark(8) |
| Jun.23 | at Cleveland | W 7-6 | Blair(W,4-1)-Nitcowski-Brocail-Jones(S,20) | Clark(9) |
| Jun.24 | at Cleveland | L 1-8 | Sparks(L,0-1)-Patterson-Anderson | Easley(3) |
| Jun.24 | at Cleveland | W 14-8 | Johnson-Nitcowski(W,4-7)-Patterson-Nomo-Brocail | Higginson(13,14,15);Magee(5) |
| Jun.25 | at Cleveland | L 1-2 | Weaver-Anderson(L,3-1) | |
| Jun.26 | at Cleveland | W 13-2 | Moehler(W,5-4)-Patterson-NCruz | Clark(10);Ausmus(5) |
| Jun.27 | NY Yankees | W 7-6 (11) | Nomo-Nitcowski-Anderson-Brocail-Jones-NCruz(W,1-0) | Palmer(15);Clark(11) |
| Jun.28 | NY Yankees | W 13-6 | Blair(W,5-1)-Sparks(S,1) | Cruz(4);Polonia(4);Encarnacion(7);Clark(12) |
| Jun.29 | NY Yankees | L 0-8 | Mlicki(L,2-9)-NCruz-Brocail-Anderson | |
| Jun.30 | at Kansas City | W 3-1 | Weaver(W,5-6)-Jones(S,21) | Fick(2) |