A method of winding an optical fiber includes winding the optical fiber using a bobbin that includes: a body portion having two end portions; and a pair of flanges, respectively disposed at the end portions in an axial direction of the body portion. An inner surface of each of the flanges is inclined toward an outer side in the axial direction and toward a radial outer side. The method further includes guiding the optical fiber to the bobbin using a final pulley. The bobbin and the final pulley reciprocate relative to each other in the axial direction at a traverse speed V (mm/sec) such that 0.0050≤θ (rad)≤0.1000, where θ is a delay angle, θ=arctan (V/L), and L (mm) is a distance from a winding position of the optical fiber at the bobbin to the final pulley in a radial direction.