We have studied the mechanism of coherent acoustic phonon generation in gold nanofilm induced by ultrafast laser-heating. Under the non-equilibrium condition when the lattice heating time is much longer than the film vibration period, we clearly identified the contribution of electronic thermal stress to drive the lattice motion and successfully measured the electronic Grüneisen parameter γe to be 1.6 ± 0.3. We also found that lattice heating via the electron-phonon coupling process lagged behind the coherent lattice motion, which we attributed to the prolonged thermalization process of the laser-excited non-thermal electrons under high pumping conditions. By taking such a process into account, the improved model fit our experimental data much better, and the extracted γe of gold was still around 1.6.