In this work, we present a complete cross sections set that describe the interaction between H + 2 ions and H2 molecules. Based on these cross sections, we have calculated the transport properties of H + 2 ions in H2 gas, depending on the reduced electric field. Ionic charge exchange reactions with molecules are indispensable elementary processes in the modeling of kinetics in terrestrial, industrial and astrophysical plasma in the detection of dark matter. A Monte Carlo simulation method is applied to accurately calculate transport parameters in hydrodynamic regime. We discuss new data for H + 2 ions in H2 gas where the mean energy the flux and bulk values of reduced mobility and other transport coefficients, are given as a function of low and moderate reduced electric fields.