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This work includes a comprehensive analysis of the Kepler detached eclipsingbinary system KIC 6629588 that aims to the detailed study of the oscillationproperties of its pulsating component. Ground-based spectroscopic observationswere obtained and used to classify the components of the system. Thespectroscopic results were used as constrains for the modelling of theshort-cadence Kepler light curves and for the estimation of the absoluteparameters of the components. Furthermore, the light curves residuals areanalyzed using Fourier transformation techniques in order to search forpulsation frequencies. The primary component of the system is identified as a$\delta$ Scuti star that pulsates in seven eigenfrequencies in the range 13-22d$^{-1}$, while more than 270 combination frequencies were also detected. Theabsolute and the oscillation parameters of this pulsating star are comparedwith those of other $\delta$ Scuti stars-members of detached binary systemsusing evolutionary and correlation diagrams. Finally, the distance of thesystem is also estimated.

On the pulsations of the $\delta$ Scuti star of the binary system KIC 6629588