The optical measurements by the use of a DAC have developed the studies of solid hydrogen at high pressures. Those studies have disclosed that solid hydrogen at high pressures exhibits a variety of structural phase transitions. The researches about the metallization of solid hydrogen, which is a longstanding issue in high pressure science, have been also progressed in recent years. In this article, we briefly review the pressure-induced structural phase transitions and the quest for metallic phase in solid hydrogen at high pressures.