A previous study of single crystals of monoclinic barium holmium fluoride, BaHo₂F₈, has shown that, as a result of crystal field splittings, the ground state of the Ho³⁺ ion, 4f¹⁰, ⁵I₈, is a non-Kramers doublet, with a single g value of 14.24, parallel to the crystallographic a axis. A transition to an antiferromagnetically ordered state occurs at about T_N=1.76 K but the precise nature of the magnetically ordered state cannot be determined from these measurements alone. This paper describes the results of a neutron diffraction investigation from 4.2 K down to 0.3 K. An initial measurement on a powdered sample at 0.31 K was sufficient to determine which of three group theoretically allowed magnetic arrangements is present; the structure determined is antiferromagnetic with a (10 1/2 ) magnetic propagation vector.