  The relativistic nine-quark equations are found in the framework of the
dispersion relation technique. $ ^3 He$ nucleus is described by these
equations. We consider the $ ^3 He$ as the system of interacting quarks and
gluons. The approximate solutions of these equations using the method based on
the extraction of leading singularities of the amplitudes are obtained. The
relativistic nine-quark amplitudes of $ ^3 He$, including the $u$, $d$ quarks
are calculated. The poles of these amplitudes determine the mass of nine-quark
system. The $ ^3 He$ mass $M=2809\, MeV$ is calculated. The gluon coupling
constant in the light nuclei region is equal to $g=0.1536$. The gluon
interaction of $ ^3 He$ is obtained in 2 -- 3 time smaller as compared with
baryon interaction.
