Producing fusion energy by light nuclear fusion reaction is an effective way to solve the energy problem. The materials in the reactor will face harsh working environment. Tungsten, with excellent properties, has become one of the most promising candidate materials in the future nuclear fusion device. But pure tungsten has some problems in the fusion, such as high ductile brittle transition temperature, low recrystallization temperature, irradiation hardening, embrittlement and difficult processing problem. Therefore, researching the tungsten-base material is used to solve the problems. On the basis of analysis of damage behavior of tungsten and tungsten-base materials under plasma irradiation, high heat load and high-energy neutron irradiation. Damage mechanism are discussed. Several key issues which need to be studied hereafter are put forward.