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Ordered arrangements of oxygen atoms dissolved in α-zirconium near the stoichiometric composition ZrO1/3 have been investigated by means of electron diffraction and dark-field electron microscopy. The arrangements of oxygen atoms are specified as the long period stacking sequences of the interstitial layers of octahedral sites normal to the c axis of the h.c.p. lattice. Eight kinds of the stacking variants of the oxygen layers are found in the composition range from 24 to 26 at.% O in the order of 8H (7), 5H (4), 12R (3)3, 7H (32), 10H (113), 9R (2)3, 12H (1113) and 14H (13111) or (11113). These stackings become irregular by quenching from about 600°C.