A measurement of the cosmic ray anisotropy on the arrival directions of protons and light primary nuclei (helium, carbon and oxygen) has been performed in galactic coordinates by the Alpha Magnetic Spectrometer onboard the International Space Station. The analysis is based on the sample of events collected in the first 9 years of data taking. The results for the different particle species are consistent with isotropy and upper limits on the dipole amplitude ($\delta$) have been computed. In particular, an upper limit of $\delta < 0.32\%$ at the $95\%$ C.I. is established for galactic protons above 200 GV. On the other hand, limits on the dipole anisotropy of galactic helium, carbon and oxygen above 200 GV are quoted: $\delta < 0.32\%$, $\delta < 1.62\%$ and $\delta<1.69\%$, respectively.