In this paper we report the detailed study of magnetic phase diagrams, low-temperature magnetic structures, and the magnetic field effect on the electrical resistivity of the binary intermetallic compound Tb3Ni. The incommensurate magnetic structure of the spin-density-wave type described with magnetic superspace group P1121/a1′(ab0)0ss and propagation vector kIC=0.506,0.299,0 was found to emerge just below Néel temperature TN=61 K. Further cooling below 58 K results in the appearance of multicomponent magnetic states: (i) a combination of k1=12,12,0 and kIC in the temperature range 51<T<58 K; (ii) a mixed magnetic state of kIC, k1, and k2=12,14,0 with the partially locked-in incommensurate component in the temperature range 48<T<51 K; and ...