Theoretical investigation of the interaction between positive hydrogen ions and electrons located in wurtzite InN containing oxygen impurity atoms is presented in this paper. The interaction is investigated on the basis of the energy pockets for both the electrons and the holes having places in the structure of InN containing oxygen atoms. These energy pockets are found on the basis of the electron band structure of wurtzite InN containing oxygen impurity atoms. A model of the system located electron–positive hydrogen ion is created. It is called the "inversed" hydrogen model, because the electron is fixed in the pocket, and the positive hydrogen ion can change its position (this ion can either be on the surface of InN or belong to a neighboring quasi-elementary cell). The Schrödinger equation for the "inversed" hydrogen model of the electron–hydrogen ion system is determined. The binding energy and the hydrogen-like energy levels of the electron–positive system hydrogen ion system are found.