An inking unit of a printing press with at least one inking unit cylinder and with at least one inking unit carrier, with a bearing housing, which is assigned at least one bearing rotatably supporting a journal of the inking unit cylinder, with a carriage movable relative to the inking unit carrier in a direction of movement, wherein the bearing housing is movable relative to the carriage, in order to expose the journal of the inking unit cylinder, wherein the bearing housing comprises at least one surface element (18, 20) and wherein the carriage comprises at least one counter surface element (13, 19), wherein the surface element (18, 20) and the counter surface element (13, 10) can be brought into contact, wherein at least one force supply device (15, 21, 22, 23, 24, 25) is provided, with which the surface element (18, 20) of the bearing housing can be pressed against the counter surface element (13, 19), so that a frictional connection is established between the surface element (18, 20) and the counter surface element (13, 19), characterized in that the carriage comprises a sliding surface for the bearing housing and that the carriage comprises extension pieces (14, 14'), which cover the extensions (12, 12') of the bearing housing, wherein the extension pieces (14, 14') comprise the counter surface elements and the extensions (12, 12') comprise the surface elements, wherein the extensions (12, 12') and the extension pieces (14, 14') comprise oblique surfaces (19, 20), wherein an extension piece comprises obliquely arranged clamping elements, with which the bearing housing can be pressed against the sliding surface and at the same time the oblique surface of the extension can be pressed against the counter surface element of the extension piece. with a bearing housing, which is assigned at least one bearing rotatably supporting a journal of the inking unit cylinder, with a carriage movable relative to the inking unit carrier in a direction of movement, wherein the bearing housing is movable relative to the carriage, in order to expose the journal of the inking unit cylinder, wherein the bearing housing comprises at least one surface element (18, 20) and wherein the carriage comprises at least one counter surface element (13, 19), wherein the surface element (18, 20) and the counter surface element (13, 10) can be brought into contact, wherein at least one force supply device (15, 21, 22, 23, 24, 25) is provided, with which the surface element (18, 20) of the bearing housing can be pressed against the counter surface element (13, 19), so that a frictional connection is established between the surface element (18, 20) and the counter surface element (13, 19), characterized in that the carriage comprises a sliding surface for the bearing housing and that the carriage comprises extension pieces (14, 14'), which cover the extensions (12, 12') of the bearing housing, wherein the extension pieces (14, 14') comprise the counter surface elements and the extensions (12, 12') comprise the surface elements, wherein the extensions (12, 12') and the extension pieces (14, 14') comprise oblique surfaces (19, 20), wherein an extension piece comprises obliquely arranged clamping elements, with which the bearing housing can be pressed against the sliding surface and at the same time the oblique surface of the extension can be pressed against the counter surface element of the extension piece.