An angular-position measuring device includes a shaft rotatable relative to a body about an axis extending in a z-direction. A measuring standard having an end face is fastened on the shaft in rotatably fixed manner. The body includes a scanning device for scanning the measuring standard. Both the roller bearing and a sealing unit are provided on the side of the measuring standard facing the end face relative to the z-direction, The sealing unit includes rings that are rotatable relative to each other and are separated from each other by a gap, the gap being filled at least partially with a fluid.