The process of mutual neutralization in slow H-2(+)+H- collisions is considered within the multi-channel Landau-Zener model. The cross sections for electron capture from H- to specific gerade (singlet and triplet) states of H-2 molecule are calculated in the CM energy range from 0.05 keV/u to 5 keV/u. The calculated total mutual neutralization cross section is in satisfactory agreement with the experimental data available in the CM energy range 20-2000 eV