The origin of the cosmic rays, high energy particles and ionized nuclei from outer space, is a long-standing question in astrophysics. In this thesis, the measurement of the cosmic-ray Silicon (Si) nuclei flux as a function of rigidity (momentum per unit charge) from 2.15 GV to 3 TV, based on 1.6 million Silicon nuclei events collected by the Alpha Magnetic Spectrometer (AMS-02) during its first 7 years (May 19, 2011 to May 26, 2018) of operations is presented. To study its spectral behavior, the measurement of the Oxygen and Neon (Ne) nuclei fluxes, based on the same 7-years data set with 12.5 million Oxygen and 1.8 million Neon nuclei events, as well as their flux ratios, Si/Ne, Ne/O and Si/O, are also discussed. Detail systematic uncertainty estimations for all three fluxes are discussed as well.