McDonald || Hill (15–9) || — || 41,303 || 83–63 |- bgcolor="ffbbbb" | 148 || September 13 || Brewers || 3–6 || D'Amico || Witt (15–10) || Fetters || 39,235 || 83–64 |- bgcolor="ffbbbb" | 149 || September 14 || Brewers || 6–8 || Karl || Pavlik (15–8) || Fetters || 45,901 || 83–65 |- bgcolor="ccffcc" | 150 || September 15 || Brewers || 6–2 || Oliver (13–6) || Garcia || Vosberg (8) || 45,941 || 84–65 |- bgcolor="ffbbbb" | 151 || September 16 || @ Mariners || 0–6 || Moyer || Burkett (3–2) || — || 50,544 || 84–66 |- bgcolor="ffbbbb" | 152 || September 17 || @ Mariners || 2–5 || Mulholland || Hill (15–10) || Ayala || 32,279 || 84–67 |- bgcolor="ffbbbb" | 153 || September 18 || @ Mariners || 2–5 || Hitchcock || Witt (15–11) || Charlton || 35,162 || 84–68 |- bgcolor="ffbbbb" | 154 || September 19 || @ Mariners || 6–7 || Davis || Cook (4–2) || Charlton || 39,769 || 84–69 |- bgcolor="ffbbbb" | 155 || September 20 || @ Angels || 5–6 (10) || McElroy || Stanton (0–1) || — || 18,860 || 84–70 |- bgcolor="ccffcc" | 156 || September 21 || @ Angels || 7–1 || Burkett (4–2) || Abbott || — || 24,104 || 85–70 |- bgcolor="ccffcc" | 157 || September 22 || @ Angels || 4–1 || Hill (16–10) || Dickson || — || 17,522 || 86–70 |- bgcolor="ffbbbb" | 158 || September 23 || @ Athletics || 3–5 || Wasdin || Witt (15–12) || Taylor || 10,164 || 86–71 |- bgcolor="ccffcc" | 159 || September 24 || @ Athletics || 7–3 || Cook (5–2) || Small || — || 9,694 || 87–71 |- bgcolor="ccffcc" | 160 || September 26 || Angels || 6–5 || Burkett (5–2) || Abbott || Henneman (31) || 33,895 || 88–71 |- bgcolor="ffbbbb" | 161 || September 27 || Angels || 3–4 (15) || Harris || Whiteside (0–1) || Gohr || 46,764 || 88–72 |- bgcolor="ccffcc" | 162 || September 28 || Angels || 4–3 || Oliver (14–6) || Finley || Heredia (1) || 45,651 || 89–72 |- bgcolor="ccffcc" | 163 || September 29 || Angels || 4–3 || Witt (16–12) || Springer || — || 45,434 || 90–72 |- |- | Legend: = Win = Loss = TieBold = Rangers team member Detailed records Notable transactions April 13, 1996: Jack Voigt was