In the present paper we study a phase diagram of a model core-softened system in two dimensions. Previous studies of this system shown that the phase diagram of this system contains several ordered phases (low and high-density triangular phases, square phase and dodecagonal quasicrystal). However, there is a region of (P,T) parameters where the structure has not been identified. In the present paper we study the structure and dynamical properties of the system in this region and show that it experiences glass transition. Basing on the temperature dependence of the diffusion coefficient we estimate the glass transition temperature and place it on the phase diagram.