The hydride CeRuSiH is derived from the non-magnetic heavy-fermion ternary silicide CeRuSi that crystallizes in the tetragonal CeFeSi-type structure (P4/nmm space group). This hydride exhibits two antiferromagnetic transitions at T N1 = 7.5(2) K and T N2 = 3.1(2) K, evidenced by magnetization and specific heat measurements. Crystal and magnetic structures of CeRuSiH have thus been investigated by means of neutron powder diffraction, which has shown firstly that H-atoms are fully inserted in the [Ce 4 ]-tetrahedra. Moreover, between T N1 and T N2 , the Ce magnetic moments are ordered in a collinear antiferromagnetic sinusoidal structure associated with the propagation vector k = (k x , k x , 1/2) (k x < 1/3 and tends to 1/3 with decreasing temperature). At T N2 , the magnetic structure becomes square wave modulated and commensurate with k = (1/3, 1/3, 1/2) as propagation vector. At 1.5 K, the structure is antiphase with a Ce magnetic moment of 1.68(2) μ B . These magnetic structures are compared with those previously reported on the substituted ternary silicides (Ce 1−x La x )Ru 2 Si 2 and CeRu 2 (Si 1−x Ge x ) 2 , which also present an antiferromagnetic behaviour.