We study excited states in parallel neighboring organic and inorganic semiconducting quantum wires. Due to the resonance dipole-dipole interaction between the wires, the hybrid exciton is a mixture of Frenkel and Wannier-Mott excitons. For the transition dipole moments oriented perpendicular to the wires, the interwire hybridization strength is nonzero even for small exciton wave vectors along the wires and decays rather slowly with increasing interwire spacing. This is in contrast to two-dimensional quantum wells where the dipole-dipole coupling decays fast with increasing interwell distance and is nonzero only for nonzero excitonic wave vectors. The hybrid wire excitons possess both a large radius and a relatively large oscillator strength, which could be especially interesting with respect to applications in nonlinear optics.