Molecular arrangements in the crystals composed of the dicyanocobalt(III)phthalocyanine units, Co(Pc)(CN)(2), have been examined. When the unit is closed-shell anion, the crystals contain one-dimensional arrays or isolated dimers of the Co(Pc)(CN)2 units. Two-dimensional sheets of Co(Pc)(CN)2, which are similar to those observed for the partially oxidized potassium salt, are formed when the unit is completely oxidized with existence of chloroform. A three-dimensional network of Co(Pc)(CN)(2) is also obtained when the unit is oxidized with existence of water. Resultant neutral radical crystals, Co(Pc)(CN)(2).2CHCl(3) and Co(Pc)(CN)(2).2H(2)O, are highly conducting.