An anti-fungal composition for the control of one or more target fungi (or a similar heterotrophic, hyphae-producing organism) that infect plant materials and are(is) separately controllable by a benzoxaborole and an anti-fungal compound of a preselected FRAC Target Site Code is disclosed, as is a method of its use. A composition contains a diluent medium having dissolved or dispersed therein a synergistic effective amount of each of a first and a second anti-fungal compound. The first anti-fungal compound is a benzoxaborole of Formula I. The second anti-fungal compound is other than a benzoxaborole and is known to control said one or more target species of fungus when utilized as the sole anti-fungal compound at a concentration greater than the synergistic effective amount and has a preselected FRAC Target Site Code of B, C, D, E, G, H, or M.