This paper provides an overview of research challenges and opportunities on mm-wave communication in the fifth generation (SG) mobile broadband networks. More specifically, different challenges, i.e. spectrum, propagation channel, cost and energy efficient aspects, from the perspective of mm-wave communication are discussed. Furthermore, insights on research opportunities of mm-wave communication in heterogeneous networks and multi-antenna transceiver technologies are provided. Based on provided overview, it can be concluded that mm-wave communication is a promising framework for further development and research towards next generation mobile broadband communication systems.