In this paper , the high-precision light curves of the Kepler target KIC 5950759 are analyzed . The Fourier analysis of the long cadence ( LC ) light curve reveals three independent frequencies . Two of them are main pulsation modes : F0 = 14.221373 ( 21 ) { d ^ { -1 } } and F1 = 18.337249 ( 44 ) { d ^ { -1 } } . The third independent frequency , f _ { m } = 0.3193 d ^ { -1 } , is found in LC data with a signal-to-noise ratio of 6.2 . A weak modulation of f _ { m } to F0 and F1 modes ( triplet structures centered on F0 and F1 ) are detected both in long and short cadence data . This is the first detection of the modulation effect in a double-mode high-amplitude \delta Scuti ( HADS ) star . The most possible cause of the modulation effect in the light curves is amplitude modulation with the star ’ s rotation frequency of 0.3193 d ^ { -1 } . The preliminary analysis suggests that KIC 5950759 is in the bottom of the HADS instability strip and likely situated in the main sequence . Spectroscopic observations are necessary to verify the true nature of the modulation terms .