A sheet conveying apparatus, an automatic draft conveying apparatus, a paper feeding apparatus, and an image forming apparatus capable of preventing self-oscillation of a conveying roller. When rigidity of an oscillation system of the conveying roller is K [N/m], the distance between a supporting point of an arm and a section of the arm to which an axis of the conveying roller is attached is L [mm], and arm angle, which is formed between a sheet and a line segment connecting the supporting point of the arm to the section of the arm to which the axis of the conveying roller is attached on an assumed plane perpendicular to a direction of the axis of the conveying roller, is θ [deg], θ≦(Pse×K−0.5)×(1/L) is satisfied, where Pse=37500.