Angle-resolved second harmonic generation (SHG) spectra of ZnO microwires show characteristic Fano resonances in the spectral vicinity of exciton-polariton modes. The output SHG spectra after SHG interacting with exciton polariton shows a resonant enhancement peak accompanied by a suppression dip originating from the constructive and destructive interference respectively. It is demonstrated that the Fano line shape, and thus the Fano asymmetry parameter q, can be tuned by the phase-shift of the two channels. The phase-dependent q was calculated and the model describes our experimental results well. In particular, the phase-to-q relation unveil the crucial information about the dynamics of the system, e.g., defining the line shape of output SHG spectra in a superposition of quantum states.Fano resonance, known as a fingerprint of quantum interference effect, has attracted much attention since discovered by Ugo Fano.[1] It originates from the interference between a discrete state and a continuum of quantum states, giving rise to a characteristic asymmetric emission line shape. First introduced to describe the atomic photo-ionization [1, 2], exploration of this important phenomenon and the underlying physics have been extended to the fields of photonic crystals [3,4], plasmonic devices [5][6][7], metamaterials [8,9], fiber-cavity systems [10],Raman scattering [11, 12], nonlinear optics, etc. [13-20]. The Fano line shape is considered as a unique asymmetric spectral response, and its tunability in a discrete-continuum coupled quantum system provides great opportunities for developing optronic devices such as on chip