Motivated by recently discovered quasi-one-dimensional superconductor K2Cr3As3 with D3h lattice symmetry, we study one-dimensional three-orbital Hubbard models with generic electron repulsive interaction described by intra-orbital repulsion U, inter-orbital repulsion U’, and Hund’s coupling J. As extracted from density functional theory calculation, two of the three atomic orbitals are degenerate and the third one is non-degenerate, and the system is presumed to be at incommensurate filling. With the help of bosonization, we have usual three-band Luttinger liquids in the normal state. Possible charge density wave (CDW), spin density wave (SDW) and superconducting instabilities are analyzed by one-loop renormalization group. The ground state depends on the ratio J/U. For the physical relevant parameter region, 0<J/U<1/2, the ground states are superconducting states. When 0<J/U<1/3, spin singlet superconducting state is favored. While spin triplet superconductor will be favored when 1/3<J/U<1/2. The spin density wave state can be achieved only in the unphysical parameter region J/U>1/2.