Provided is a fiber reinforced cement based mixed material having high tensile strength and high toughness, the mixed material comprising a cementitious composition with fast development of early strength; a small hydration heat temperature; and a small shrinkage during curing. The fiber reinforced cement based mixed material contains 100 wt. parts of cement, 5-30 wt. parts of silica fume, 30-80 wt. parts of at least one pozzolanic material excluding the silica fume, 5-25 wt. parts of limestone powder, at least one chemical admixture, water, 70-150 wt. parts of aggregate having a largest aggregate diameter of 1.2-3.5 mm, and fibers, wherein at least some of the fibers comprise a fiber having asperities formed in the surface, the fiber having asperities being formed such that a ratio (h/H) of a depth h of each of recessed portions among the asperities to a smallest cross-sectional diameter H thereof is 0.05-0.8.