|| May 29 || @ Giants || 12–3 || Curt Simmons (7–3) || Larry Jansen (4–4) || None || 6,253 || 20–14–1 |- style="background:#bbb" | – || May 30 (1) || @ Giants || colspan=6 | Postponed (rain); Makeup: August 15 as a traditional double-header |- style="background:#bbb" | – || May 30 (2) || @ Giants || colspan=6 | Postponed (rain); Makeup: August 16 as a traditional double-header |- style="background:#bbb" | – || May 31 || Giants || colspan=6 | Postponed (wet grounds); Makeup: August 22 as a traditional double-header |- |- style="background:#bfb" | 36 || June 2 || Cardinals || 5–0 || Robin Roberts (8–3) || Cliff Chambers (0–3) || None || 15,064 || 21–14–1 |- style="background:#fbb" | 37 || June 3 (1) || Cardinals || 3–5 || Vinegar Bend Mizell (5–2) || Curt Simmons (7–4) || Al Brazle (8) || see 2nd game || 21–15–1 |- style="background:#bfb" | 38 || June 3 (2) || Cardinals || 6–5 || Steve Ridzik (1–0) || Al Brazle (2–3) || Andy Hansen (3) || 31,104 || 22–15–1 |- style="background:#bfb" | 39 || June 4 || Cardinals || 6–5 (10) || Steve Ridzik (2–0) || Hal White (0–1) || None || 8,994 || 23–15–1 |- style="background:#fbb" | 40 || June 5 || Braves || 2–3 (10) || Warren Spahn (6–1) || Jim Konstanty (4–3) || None || 16,025 || 23–16–1 |- style="background:#bfb" | 41 || June 6 || Braves || 6–2 || Robin Roberts (9–3) || Jim Wilson (2–3) || None || 9,144 || 24–16–1 |- style="background:#fbb" | 42 || June 7 (1) || Braves || 0–6 || Johnny Antonelli (6–1) || Steve Ridzik (2–1) || None || see 2nd game || 24–17–1 |- style="background:#fbb" | 43 || June 7 (2) || Braves || 3–5 || Bob Buhl (4–2) || Thornton Kipper (0–1) || Lew Burdette (4) || 20,098 || 24–18–1 |- style="background:#bfb" | 44 || June 8 || Cubs || 7–3 || Steve Ridzik (3–1) || Paul Minner (2–6) || None || 2,851 || 25–18–1 |- style="background:#bfb" | 45 || June 9 || Cubs || 10–9 || Thornton Kipper (1–1) || Dutch Leonard (1–2) || None || 6,903 || 26–18–1 |- style="background:#bfb" | 46 || June 10 (1) || Cubs || 9–1 || Robin Roberts (10–3) || Johnny Klippstein (4–5) || None || see 2nd game || 27–18–1 |- style="background:#bfb" | 47 || June 10 (2) || Cubs || 8–5 || Jim