| 61 || June 9 || Blue Jays || 8–6 || Witt (6–4) || Hanson || Henneman (18) || 41,605 || 38–23 |- bgcolor="ccffcc" | 62 || June 10 || Brewers || 8–3 || Gross (6–4) || Givens || — || 43,275 || 39–23 |- bgcolor="ffbbbb" | 63 || June 11 || Brewers || 4–14 || McDonald || Hill (7–5) || Garcia || 33,519 || 39–24 |- bgcolor="ccffcc" | 64 || June 12 || Brewers || 13–6 || Pavlik (9–1) || Miranda || — || 34,842 || 40–24 |- bgcolor="ffbbbb" | 65 || June 13 || @ Red Sox || 7–8 (10) || Slocumb || Henneman (0–4) || — || 32,645 || 40–25 |- bgcolor="ffbbbb" | 66 || June 14 || @ Red Sox || 3–4 || Stanton || Witt (6–5) || — || 29,689 || 40–26 |- bgcolor="ccffcc" | 67 || June 15 || @ Red Sox || 13–3 || Gross (7–4) || Wakefield || — || 33,186 || 41–26 |- bgcolor="ffbbbb" | 68 || June 16 || @ Red Sox || 9–10 || Hudson || Henneman (0–5) || — || 30,461 || 41–27 |- bgcolor="ffffff" | 69 || June 17 || @ Orioles || 1–1 (6) || || || — || 45,581 || 41–27 |- bgcolor="ccffcc" | 70 || June 18 || @ Orioles || 7–0 || Oliver (6–2) || Mercker || — || 47,318 || 42–27 |- bgcolor="ccffcc" | 71 || June 19 || @ Orioles || 3–2 || Witt (7–5) || Mussina || Russell (1) || 45,581 || 43–27 |- bgcolor="ffbbbb" | 72 || June 20 || @ Orioles || 2–3 || Wells || Gross (7–5) || Myers || 21,748 || 43–28 |- bgcolor="ccffcc" | 73 || June 21 || Red Sox || 14–4 || Hill (8–5) || Minchey || — || 40,726 || 44–28 |- bgcolor="ccffcc" | 74 || June 22 || Red Sox || 8–2 || Pavlik (10–1) || Wakefield || — || 46,444 || 45–28 |- bgcolor="ffbbbb" | 75 || June 23 || Red Sox || 4–6 || Stanton || Cook (3–1) || Slocumb || 39,399 || 45–29 |- bgcolor="ffbbbb" | 76 || June 24 || Orioles || 3–8 || Mussina || Witt (7–6) || — || 39,701 || 45–30 |- bgcolor="ccffcc" | 77 || June 25 || Orioles || 5–2 || Gross (8–5) || Wells || Henneman (19) || 41,685 || 46–30 |- bgcolor="ccffcc" | 78 || June 26 || Orioles ||