We present the eclipsing Heartbeat Star KIC 9704906 with tidally excited oscillations (TEOs) and gamma Doradus/delta Scuti hybrid pulsations. The derived parameters show that it has an orbital period of \(P\)=8.7529108(1) days, a high eccentricity of \(e\)=0.467(3), and a high inclination of \(i\)=78\(^{\circ}\).81(6). The mass ratio \(q\)=0.981(5), the relative radii (radius divided by semi-major axis) \(r_1\)=0.0639(2), and \(r_2\)=0.0715(4) indicate that the secondary component has a less mass and a larger radius, and may have evolved off the main sequence. The eight derived TEO candidates, \(n\) = 3, 4, 5, 6, 7, 12, 40, and 44 harmonics, are consistent with or close to the dominant spherical harmonic \(l=2\), \(m=0\), or \(\pm2\), assuming that the spin and orbital axes are aligned, and the pulsations are adiabatic and standing waves. We also identify ten independent frequency candidates, but one of them, \(\mathit{f_{7}}\), is more like a modulation of a quasi-periodic signal and the orbits. According to the g-mode frequencies, we find that the rotation period of one component is 11.52(29) days. Although the masses and radii cannot be further constrained due to the lack of sufficient high-precision spectra, the fascinating phenomena in the Fourier spectra are evident and valuable in this system.