  The ${}^{12}\mathrm{C} + {}^{12}\mathrm{C}$ fusion reaction plays a vital
role in the explosive phenomena of the universe. The resonances in the Gamow
window rule its reaction rate and products. Hence, the determination of the
resonance parameters by nuclear models is indispensable as the direct
measurement is not feasible. Here, for the first time, we report the resonances
in the ${}^{12}\mathrm{C} + {}^{12}\mathrm{C}$ fusion reaction described by a
full-microscopic nuclear model. The model plausibly reproduces the measured
low-energy astrophysical $S$-factors and predicts the resonances in the Gamow
window. Contradictory to the hindrance model, we conclude that there is no
low-energy suppression of the $S$-factor.
