Laplace‐like resonances among Ganymede, Europa, and Io may have once led Ganymede to have an eccentricity (presently e = 0.0013) as high as ~0.07 (Showman & Malhotra, 1997, https://doi.org/10.1006/icar.1996.5669). While diurnal stresses at Ganymede today are small (less than 10 kPa), a previous period of higher eccentricity may have allowed for an order of magnitude increase in the diurnal tidal stresses that could drive fault initiation and result in a past period of active tectonism. To investigate the role of tidal stresses on faulting, we use the numerical model SatStress (Wahr et al., 2009, https://doi.org/10.1016/j.icarus.2008.11.002) to calculate diurnal tidal stresses on Ganymede's surface assuming e = 0.05, representative of a more eccentric orbit in Ganymede's past. We resolve normal and shear stresses onto discrete mapped fault segments and assess Coulomb failure criteria along three inferred shear zones on Ganymede's surface: Dardanus Sulcus, Tiamat Sulcus, and Nun Sulci. While Coulomb failure is not expected from diurnal stressing at any of the three shear zones for a diurnal model of present‐day (low) eccentricity, we do predict Coulomb failure for a past, high eccentricity case, in isolated diurnal slip windows and limited to very shallow depths (~100 to 250 m). In these cases, this model may provide an alternative to invoking additional stresses such as nonsynchronous rotation or true polar wander, as in previous studies (Cameron et al., 2019, https://doi.org/10.1016/j.icarus.2018.09.002). Additionally, this model is in general agreement with the sense of inferred shear from imagery and structural mapping.