|| Wally Ritchie (1) || 14,846 || 22–25 |- |- style="background:#fbb" | 48 || June 1 || @ Braves || 6–7 || Tom Glavine (8–3) || Cliff Brantley (2–4) || Mark Wohlers (1) || 25,647 || 22–26 |- style="background:#fbb" | 49 || June 2 || @ Braves || 3–5 || Mike Stanton (1–2) || Mitch Williams (2–2) || None || 27,855 || 22–27 |- style="background:#bfb" | 50 || June 3 || @ Braves || 4–1 || Curt Schilling (4–3) || John Smoltz (5–5) || Mitch Williams (9) || 19,357 || 23–27 |- style="background:#bfb" | 51 || June 5 || Cardinals || 7–5 || Barry Jones (4–2) || Todd Worrell (2–2) || Mitch Williams (10) || 12,128 || 24–27 |- style="background:#bfb" | 52 || June 6 || Cardinals || 7–5 || Mike Hartley (2–0) || Bob McClure (1–1) || Mitch Williams (11) || 28,257 || 25–27 |- style="background:#fbb" | 53 || June 7 || Cardinals || 4–5 || Todd Worrell (3–2) || Bob Ayrault (0–1) || Lee Smith (15) || 24,512 || 25–28 |- style="background:#bfb" | 54 || June 8 || Pirates || 7–0 || Curt Schilling (5–3) || Vicente Palacios (3–1) || None || 21,040 || 26–28 |- style="background:#fbb" | 55 || June 9 || Pirates || 3–5 || Doug Drabek (5–4) || Mike Hartley (2–1) || Denny Neagle (1) || 29,138 || 26–29 |- style="background:#fbb" | 56 || June 10 || Pirates || 1–2 (12) || Bob Patterson (3–0) || Barry Jones (4–3) || Roger Mason (6) || 25,112 || 26–30 |- style="background:#bfb" | 57 || June 12 || @ Cardinals || 8–5 || Wally Ritchie (1–1) || Donovan Osborne (5–3) || Mitch Williams (12) || 35,719 || 27–30 |- style="background:#fbb" | 58 || June 13 || @ Cardinals || 1–4 || Omar Olivares (3–3) || Curt Schilling (5–4) || Lee Smith (16) || 39,477 || 27–31 |- style="background:#fbb" | 59 || June 14 || @ Cardinals || 2–5 || Rhéal Cormier (1–5) || Brad Brink (0–2) || Lee Smith (17) || 40,949 || 27–32 |- style="background:#bfb" | 60 || June 15 || @ Pirates || 4–1 || Terry Mulholland (6–4) || Zane Smith (5–5) || None || 23,581 || 28–32 |- style="background:#fbb" | 61 || June 16 || @ Pirates || 5–6 (12) || Bob Patterson (4–0) || Cliff Brantley (2–5) || None || 18,548 || 28–33 |- style="background:#fbb" | 62 || June 17 || @ Pirates ||