  In this paper we solve one dimensional SU(3) bosons with repulsive
$\delta$-function interaction by means of Bethe ansatz method. The features of
ground state and low-lying excited states are studied by both numerical and
analytic methods. We show that the ground state is a SU(3) color ferromagnetic
state. The configurations of quantum numbers for the ground state are given
explicitly. For finite $N$ system the spectra of low-lying excitations and the
dispersion relations of four possible elementary particles (holon, antiholon,
$\sigma$-coloron and $\omega$-coloron) are obtained by solving Bethe-ansatz
equation numerically. The thermodynamic equilibrium of the system at finite
temperature is studied by using the strategy of thermodynamic Bethe ansatz, a
revised Gaudin-Takahashi equation which is useful for numerical method are
given . The thermodynamic quantities, such as specific heat, are obtain for
some special cases. We find that the magnetic property of the model in high
temperature regime is dominated by Curie's law: $\chi\propto 1/T$ and the
system has Fermi-liquid like specific heat in the strong coupling limit at low
temperature.
