|| Danny Jackson (7–1) || Anthony Young (3–4) || Doug Jones (13) || 31,595 || 26–27 |- style="background:#fbb" | 54 || June 3 || @ Astros || 2–4 || Brian Williams (2–2) || David West (1–5) || John Hudek (7) || 31,280 || 26–28 |- style="background:#fbb" | 55 || June 4 || @ Astros || 1–5 || Doug Drabek (8–2) || Bobby Muñoz (0–2) || None || 23,455 || 26–29 |- style="background:#fbb" | 56 || June 5 || @ Astros || 2–4 || Darryl Kile (4–2) || Mike Williams (2–2) || John Hudek (8) || 20,694 || 26–30 |- style="background:#bfb" | 57 || June 6 || Cubs || 3–1 || Shawn Boskie (3–2) || Jim Bullinger (3–1) || Doug Jones (14) || 25,838 || 27–30 |- style="background:#bfb" | 58 || June 7 || Cubs || 7–6 || Paul Quantrill (2–1) || Randy Myers (0–3) || Doug Jones (15) || 36,543 || 28–30 |- style="background:#bfb" | 59 || June 8 || Cubs || 3–0 || David West (2–5) || Kevin Foster (0–1) || Doug Jones (16) || 35,431 || 29–30 |- style="background:#bfb" | 60 || June 9 || Cardinals || 6–2 || Bobby Muñoz (1–2) || Vicente Palacios (1–3) || Paul Quantrill (1) || 34,759 || 30–30 |- style="background:#fbb" | 61 || June 10 || Cardinals || 3–4 || Rick Sutcliffe (3–2) || Mike Williams (2–3) || Mike Pérez (12) || 36,652 || 30–31 |- style="background:#fbb" | 62 || June 11 || Cardinals || 4–7 || Omar Olivares (1–0) || Shawn Boskie (3–3) || René Arocha (4) || 39,065 || 30–32 |- style="background:#bfb" | 63 || June 12 || Cardinals || 7–2 || Danny Jackson (8–1) || Bob Tewksbury (8–5) || None || 48,682 || 31–32 |- style="background:#fbb" | 64 || June 13 || @ Mets || 3–4 || Bret Saberhagen (7–3) || David West (2–6) || John Franco (15) || 17,555 || 31–33 |- style="background:#bfb" | 65 || June 14 || @ Mets || 3–2 || Bobby Muñoz (2–2) || Dwight Gooden (2–3) || Doug Jones (17) || 17,914 || 32–33 |- style="background:#fbb" | 66 || June 15 || @ Mets || 0–1 || Bobby J. Jones (7–5) || Mike Williams (2–4) || John Franco (16) || 18,397 || 32–34 |- style="background:#bfb" | 67 || June 17 || @ Expos || 10–8 || Paul Quantrill (3–1) || John Wetteland (2–4) || Doug Jones (18) || 30,235 || 33–34 |- style="background:#bfb"