Rheology of volcanic silicate melt is a fundamental physical property for understanding the magma dynamics. The rheological behavior of melt is at present relatively well understood in the macroscopic aspect. However, our knowledge about melt rheology is not enough in the molecular-scale aspect. Recently, several experimental studies were published, which shed light on the molecular-scale mechanism of melt rheology. In this review paper, key knowledge about the current understanding of the macroscopic melt rheology, especially the viscous-brittle transition and Newtonian viscosity, is summarized in the first half. In the second half, recently reported experimental studies on melt rheology from a molecular-scale perspective are reviewed.