We introduce the CoRoT Detrend Algorithm (CDA) for detrending CoRoT stellar light curves. CDA has the capability to remove random jumps and systematic trends encountered in typical CoRoT data in a fully automatic fashion. Since huge jumps in flux can destroy the information content of a light curve, such an algorithm is essential. From a study of 1030 light curves in the CoRoT IRa01 field we developed three simple assumptions CDA is based upon. In this paper we describe analytically the algorithm and we provide some examples of how it works. We demonstrate its functionality of the algorithm in the cases of CoRoT0102702789, CoRoT0102874481, CoRoT0102741994 and CoRoT0102729260. Using CDA in the specific case of CoRoT0102729260 we detect a candidate exoplanet around the host star of spectral type G5, which remains undetected in the raw light curve; the estimated planetary parameters are Rp=6.27R_E_ and P=1.6986days.