Magnetic double perovskite (DP) compounds provide a fertile playground to explore interesting electronic and magnetic properties. By complementary macroscopic characterizations, neutron powder diffraction measurements, and first-principles calculations, we have performed comprehensive studies on the magnetic ordering in the DP compound Sr 2 NiWO 6 . It is found by neutron diffraction to order magnetically in a collinear type-II antiferromagnetic (AFM) structure in a tetragonal lattice with k = (0.5, 0, 0.5) below T N = 56 K. In the ground state, the ordered moment of the spin-1 Ni 2+ ions is determined to be 1.9(2) µ B , indicating a significant quenching of the orbital moment. The Ni 2+ moments in Sr 2 NiWO 6 are revealed to cant off the c axis by 29.2 • , which is well supported by the first-principles magnetic anisotropy energy calculations. Furthermore, the in-plane and out-of-plane next-nearest-neighbor superexchange couplings (J 2 and J 2c ) are found to play a dominant role in the spin Hamiltonian of Sr 2 NiWO 6 , which accounts for the stabilization of the type-II AFM structure as its magnetic ground state.