The physical mechanism for the formation of the Gailitis resonances has been established in a recent precision calculation. According to the condition described in the low energy nuclear fusion experiments, the likelihood of Gailitis resonance induced low energy nuclear fusion exists. In this note, the properties of Gailitis resonance, the compound nuclear resonances, the conservation laws of energy, parity and the nuclear angular momentum will be used to support the possibility of Gailitis resonance induced low energy nuclear fusion.