A method or producing rollers and sleeves for chains, particularly for roller chains or sleeve-type chains. The rollers and sleeves are of cylindrical form and they are deep-drawn from a sheet metal material. The drawn components can remain attached to the sheet metal for convenience in transporting them and later separated from the sheet as they are needed. Alternatively, the drawn components can be separated from the sheet metal material and can be pressed into the openings that remain in the sheet metal, again for convenient transportation.