Based on the theory of Hartree-Fock with relativistic correction, the theoretical study is carried out on the resonance strength of dielectronic recombination (DR) of the resonance double-excited states (i.e., KLL, KLM, KLN, KLO, KLP) of Fe24+. The resonance strength and colliding cross section of KLL are investigated. By using the experimental results of Compton profiles for H2, the resonance transfer and excitation with X-ray emission cross sections during collision between Fe24+ and target molecule H2 in an energy range of 300-800 MeV are studied. Our results are compared with the recent experimental and theoretical studies. It is found that for the double-excited states of Fe24+, the Kα decay tunnel is the major decay tunnel, and the wavelengths of X-ray in this process range from 1.850 to 1.880 Å. For other decay tunnels, the wavelengths of decay wave range from 1.460 to 1.601 Å. There is no overlap between the wavelengths for two cases. Our results are in reasonable agreement with the experimental results within an estimated uncertainty.