|| None || 43,837 || 37–16 |- style="background:#bfb" | 54 || June 6 || Rockies || 11–7 || Curt Schilling (7–1) || Andy Ashby (0–4) || None || 55,714 || 38–16 |- style="background:#bfb" | 55 || June 7 || Astros || 7–5 || Danny Jackson (5–2) || Greg Swindell (5–5) || Mitch Williams (17) || 26,445 || 39–16 |- style="background:#fbb" | 56 || June 8 || Astros || 3–6 || Darryl Kile (5–1) || Ben Rivera (4–3) || Doug Jones (13) || 24,669 || 39–17 |- style="background:#bfb" | 57 || June 9 || Astros || 8–0 || Terry Mulholland (7–5) || Pete Harnisch (6–3) || None || 25,389 || 40–17 |- style="background:#bfb" | 58 || June 10 || @ Mets || 7–6 || David West (1–1) || Paul Gibson (1–1) || Mitch Williams (18) || 22,377 || 41–17 |- style="background:#bfb" | 59 || June 11 || @ Mets || 5–2 || Curt Schilling (8–1) || Pete Schourek (2–8) || None || 29,594 || 42–17 |- style="background:#bfb" | 60 || June 12 || @ Mets || 3–0 || Danny Jackson (6–2) || Dwight Gooden (7–5) || None || 31,814 || 43–17 |- style="background:#bfb" | 61 || June 13 || @ Mets || 5–3 || Ben Rivera (5–3) || Anthony Young (0–7) || Mitch Williams (19) || 29,917 || 44–17 |- style="background:#bfb" | 62 || June 14 || @ Expos || 10–3 || Terry Mulholland (8–5) || Jeff Shaw (1–3) || None || 13,235 || 45–17 |- style="background:#fbb" | 63 || June 15 || @ Expos || 4–8 || Brian Barnes (2–1) || Tommy Greene (8–1) || None || 13,142 || 45–18 |- style="background:#fbb" | 64 || June 16 || @ Expos || 3–4 || Mel Rojas (2–5) || David West (1–2) || None || 14,231 || 45–19 |- style="background:#fbb" | 65 || June 17 || Marlins || 1–4 || Chris Hammond (7–4) || Danny Jackson (6–3) || Bryan Harvey (20) || 38,855 || 45–20 |- style="background:#bfb" | 66 || June 18 || Marlins || 7–3 || Ben Rivera (6–3) || Ryan Bowen (4–7) || None || 37,925 || 46–20 |- style="background:#bfb" | 67 || June 19 || Marlins || 5–2 || Terry Mulholland (9–5) || Jack Armstrong (4–8) || Mitch Williams (20) || 50,391 || 47–20 |- style="background:#bfb" | 68 || June 20 || Marlins || 4–3 || Tommy Greene (9–1) || Trevor Hoffman (2–2) || Mitch Williams (21) || 58,508