|- style="background:#fbb" | 55 || June 9 || @ Reds || 3–6 || Tom Browning (8–4) || Terry Mulholland (6–5) || Rob Dibble (15) || 29,748 || 25–30 |- style="background:#fbb" | 56 || June 10 || @ Reds || 3–9 || José Rijo (5–2) || Andy Ashby (0–1) || None || 27,567 || 25–31 |- style="background:#fbb" | 57 || June 11 || @ Astros || 0–1 (11) || Al Osuna (2–2) || Roger McDowell (3–2) || None || 7,953 || 25–32 |- style="background:#fbb" | 58 || June 12 || @ Astros || 2–3 || Al Osuna (3–2) || Joe Boever (3–5) || None || 8,374 || 25–33 |- style="background:#bfb" | 59 || June 13 || @ Astros || 5–4 || José DeJesús (3–2) || Darryl Kile (0–2) || Mitch Williams (11) || 14,362 || 26–33 |- style="background:#fbb" | 60 || June 14 || Reds || 2–4 || Tom Browning (9–4) || Terry Mulholland (6–6) || Rob Dibble (17) || 26,067 || 26–34 |- style="background:#fbb" | 61 || June 15 || Reds || 1–3 || José Rijo (6–2) || Andy Ashby (0–2) || Rob Dibble (18) || 32,075 || 26–35 |- style="background:#fbb" | 62 || June 16 || Reds || 6–8 || Randy Myers (3–4) || Roger McDowell (3–3) || Don Carman (1) || 41,905 || 26–36 |- style="background:#bfb" | 63 || June 17 || Braves || 4–3 || Mitch Williams (1–3) || Juan Berenguer (0–2) || None || 18,517 || 27–36 |- style="background:#bfb" | 64 || June 18 || Braves || 8–4 || José DeJesús (4–2) || Pete Smith (1–1) || None || 12,405 || 28–36 |- style="background:#fbb" | 65 || June 19 || Braves || 2–9 || Tom Glavine (11–3) || Terry Mulholland (6–7) || None || 23,989 || 28–37 |- style="background:#bfb" | 66 || June 20 || Astros || 7–3 || Danny Cox (2–1) || Jimmy Jones (4–5) || None || 23,415 || 29–37 |- style="background:#bfb" | 67 || June 21 || Astros || 3–0 || Bruce Ruffin (1–0) || Mark Portugal (6–3) || Mitch Williams (12) || 21,120 || 30–37 |- style="background:#fbb" | 68 || June 22 || Astros || 3–4 (10) || Al Osuna (4–2) || Roger McDowell (3–4) || Mike Capel (2) || 25,506 || 30–38 |- style="background:#fbb" | 69 || June 23 || Astros || 4–6 || Darryl Kile (1–2) || José DeJesús (4–3) || Jim Clancy (3) || 23,455 || 30–39 |- style="background:#fbb"