A graphene-water solution and graphene-polyvinyl alcohol composite are fabricated from graphite by wet-chemistry techniques. The research shows that both of graphene solutions and the composite have saturable absorption ability. The atomic layer grapheme possesses wavelength-independent ultrafast saturable absorption, which can be realized mode-locking in a large-wide-range wavelength. The cost of the atomic layer graphene is far lower than that of semiconductor saturable absorber mirror (SESAM) as a mode-locker.