Detailed spectral study of the eclipsing binary star CM Draconis, consisting of two M dwarfs, has been held. The high-resolution echelle spectra (R = 47000), which were obtained on the 4.2 meter Willam Hershel telescopes has been used. The temperature and metallicity for both components of the system were got using the method of modeling stellar atmospheres. Temperature component is 3100 ±100 K, lgg = 5.0±0.2, metallicity [M/H] = –0.5±0.2 dex, which is in good agreement with the results obtained by other authors.