A tool for applying drywall compound to a drywall joint is disclosed. The tool includes an application member of resilient flexible material. The member has a generally flat application surface and an arcuate application edge. The application edge and the thickness of the application member are selected for a central portion of the edge to be urged against a joint defined by contiguous flat drywall sheets. The application surface on opposite sides of the central portion flex to define a smooth continuous surface from the central portion to points on the drywall sheets spaced from the joint. The tool urges drywall compound within the joint to assume a smooth surface filling the joint and fanned away from the joint into smooth continuity with the drywall sheets.