Reaction of CuI or CuBr with some iminonitroxides (impy or immepy) in methanol gave halogen bridged dinuclear Cu(I) complexes [Cu(mu-I)(impy)](2) (1), [Cu(mu-I)(immepy)](2) (2), and [Cu(mu-Br)(immepy)](2) (3), respectively. Complexes 1 - 3 have dimeric structures where two copper ions are doubly bridged by halide ions in a mu(2) fashion and each copper ion is tetrahedral with a bidentate iminonitroxide and two halide ions. Ligand iminonitroxides in 1 - 3 form one-dimensional radical chains and the chains are linked with halocuprate dimer units. Structural and magnetic susceptibility data support that 1 is the ferromagnetic S = 1/2 Heisenberg chains (J(F) = 5.8(2) cm(-1) and zJ’ = -4.45 cm(-1)), while 2 and 3 are the antiferromagnetic S = 1/2 Heisenberg chains (J(AF) = -0.68(2) and -1.12(2) cm(-1), respectively). These magnetic behaviors are discussed in connection with the stacking modes of the radicals.