Abstract: The neutron diffraction studies of powder samples from the family of A ₂MnTeO ₆ tellurates (А = Ag, Tl) were performed at room and low temperatures. The specific features of their crystal structure were investigated, and the partial substitution of Mn and Te atoms was revealed. The spin structure of Ag ₂MnTeO ₆ was determined in an ordered state at Т = 1.6 K by symmetry and full-profile analysis. It represented a non-collinear 120° triangular structure in the ab plane and a spin helicoid along the c-axis with the propagation vector k = (1/3 1/3 1/3). The neutron diffraction measurements of Tl ₂MnTeO ₆ did not reveal any additional reflections associated with the organization of long-range magnetic order up to Т = 1.6 K. The studied compounds were compared with the powders belonging to the same family and the earlier published results, which served to reveal a similarity between their crystal and magnetic structures and Na ₂MnTeO ₆ and a radically different type of their magnetic ordering as compared to Li ₂MnTeO ₆.