|| June 3 || Dodgers || 1–3 || Buehler (6–1) || Ray (4–3) || Jansen (18) || 24,124 || 30–31 || L1 |- align=“center” bgcolor=ffbbbb | 62 || June 4 || Dodgers || 0–9 || Ryu (9–1) || Clarke (1–2) || — || 29,784 || 30–32 || L2 |- align=“center” bgcolor=ccffcc | 63 || June 5 || Dodgers || 3–2 (11) || Godley (2–4) || Alexander (3–2) || — || 22,753 || 31–32 || W1 |- align=“center” bgcolor=ccffcc | 64 || June 7 || @ Blue Jays || 8–2 || Kelly (6–6) || Stroman (3–8) || — || 16,555 || 32–32 || W2 |- align=“center” bgcolor=ccffcc | 65 || June 8 || @ Blue Jays || 6–0 || Greinke (7–2) || Sanchez (3–7) || — || 22,954 || 33–32 || W3 |- align=“center” bgcolor=ccffcc | 66 || June 9 || @ Blue Jays || 8–2 || Ray (5–3) || Richard (0–2) || — || 19,661 || 34–32 || W4 |- align=“center” bgcolor=ccffcc | 67 || June 10 || @ Phillies || 13–8 || Godley (3–4) || Eickhoff (3–4) || — || 26,255 || 35–32 || W5 |- align=“center” bgcolor=ffbbbb | 68 || June 11 || @ Phillies || 4–7 || Arrieta (6–5) || Duplantier (1–1) || Neris (14) || 26,321 || 35–33 || L1 |- align=“center” bgcolor=ccffcc | 69 || June 12 || @ Phillies || 2–0 || Kelly (7–6) || Eflin (6–6) || Holland (10) || 29,047 || 36–33 || W1 |- align=“center” bgcolor=ccffcc | 70 || June 13 || @ Nationals || 5–0 || Greinke (8–2) || Fedde (1–1) || — || 24,909 || 37–33 || W2 |- align=“center” bgcolor=ffbbbb | 71 || June 14 || @ Nationals || 3–7 || Scherzer (5–5) || Ray (5–4) || — || 29,853 || 37–34 || L1 |- align=“center” bgcolor=ccffcc | 72 || June 15 || @ Nationals || 10–3 || Hirano (3–3) || Strasburg (7–4) || — || 38,044 || 38–34 || W1 |- align=“center” bgcolor=ffbbbb | 73 || June 16 || @ Nationals || 5–15 || Sánchez (3–6) || Bradley (2–4) || — || 29,032 || 38–35 || L1 |- align=“center” bgcolor=ffbbbb | 74 || June 18 || Rockies || 1–8 || Senzatela (6–5) || Kelly (7–7) || — || 22,954 || 38–36 || L2 |- align=“center” bgcolor=ffbbbb | 75 || June 19 || Rockies || 4–6 || Gray (7–5) || Greinke (8–3) || Davis (9) || 21,773 ||