The preparation technique of a complex of copper(II) bromide with bis(benzotriazol-1-yl)methane (L), (Cu2L2Br4)n, is developed. The compound is studied by single crystal and powder X-ray diffraction and static magnetic susceptibility techniques. According to single crystal XRD data, the complex has a layered structure determined by bidentate bridging coordination of L with N(3) and N(3′) atoms to copper(II). The elementary unit of {Cu2(µ-Br)2Br2} polymer has a binuclear structure. The coordination polyhedron is a trigonal pyramid, and the coordination core is CuN2Br3. The temperature dependence of effective magnetic moment is studied within an interval of 2–300 K. The nature of the µeff(T) dependence indicates that antiferromagnetic exchange interactions dominate in exchange clusters of the complex with an even number of paramagnetic centers.