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In this paper, we present an analysis of the pulsating behavior of $Kepler$target KIC 10284901. The Fourier transform of the high-precision light curvereveals seven independent frequencies for its light variations. Among them, thefirst two frequencies are main pulsation modes: F0 = 18.994054(1)$\rm{day^{-1}}$ and F1 = 24.335804(4) $\rm{day^{-1}}$, the ratio of F0/F1 =0.7805 classifies this star as a double-mode high-amplitude $\delta$ Scuti(HADS) star; another two frequencies, $f_{m1}$ = 0.4407 day$^{-1}$ and $f_{m2}$= 0.8125 day$^{-1}$, are detected directly, and the modulations of $f_{m1}$ and$f_{m2}$ to F0 and F1 modes (seen as quintuplet structures centered on thesetwo modes in the frequency spectrum) are also found. This is the firstdetection of a double-modulation effect in the HADS stars. The features of thefrequency pattern and the ratio ($f_{m1}$/$f_{m2}$ $\approx$ 1:2), as well asthe cyclic variation of amplitude of the two dominant pulsation modes, whichseem to be similar to that in Blazhko RR Lyrae stars, indicate this modulationmight be related to the Blazhko effect. A preliminary analysis suggests thatKIC 10284901 is in the bottom of the HADS instability strip and situated in themain sequence.

A double-modulation effect detected in a double-mode high-amplitude $\delta$ Scuti star: KIC 10284901