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In this paper, we analyze the light variations of KIC 10975348 usingphotometric data delivered from $Kepler$ mission. This star is exceptionallyfaint ($K_{p}$ = 18.6 mag), compared to most well-studied $\delta$ Scuti stars.The Fourier analysis of the short cadence data (i.e. Q14, Q15 and Q16, spanning220 days) reveals the variations are dominated by the strongest mode withfrequency F0 = 10.231899 $\rm{d^{-1}}$, which is compatible with that obtainedfrom $RATS-Kepler$. The other two independent modes with F1 (= 13.4988$\rm{d^{-1}}$) and F2 (= 19.0002 $\rm{d^{-1}}$) are newly detected and haveamplitudes two orders of magnitude smaller than F0. We note that, for the firsttime, this star is identified to be a high-amplitude $\delta$ Sct (HADS) starwith amplitude of about 0.7 mag, and the lower ratio of F0/F1 = 0.758 suggestsit might be a metal-rich variable star. The frequency F2 may be a thirdovertone mode, suggesting this target might be a new radial triple-mode HADSstar. We perform $O - C$ analysis using 1018 newly determined times of maximumlight and derive an ephemeris formula: $T_{max}$ =2456170.241912(0)+0.097734(1) $\times$ $E$. The $O - C$ diagram shows that thepulsation period of KIC 10975348 seems to show no obvious change, which is incontrast to that of the majority of HADS stars. The possible cause of that maybe due to the current short time span of observations. To verify its possibleperiod variations, regular observation from space with a longer time span infuture is needed.

KIC 10975348: A double-mode or triple-mode high-amplitude $\delta$ Scuti star?