Appliance for connecting high-current electric apparatuses, primarily conductor bars, comprising an electrically conducting body (31) and at least one connection piece (22), where the connection piece (22) has a seat arranged to encircle the body (31) in a concentric manner. A preferably frustum-shaped retention portion having monotonic decreasing cross-sectional size is disposed on the body, the retention portion being retained in the seat by frictional connection. The retention portion has increased contact surface, and in specific cases the body (31) is adapted for receiving a cable end. The invention is essentially characterised by that the increased contact surface is constituted by indentations implemented as ribs arranged perpendicular to the axis of the body (31) and/or as grooves extending in the direction of the generator of the body (31), where the indentations undergo different amounts of local deformation along the axis of the body (31) as the appliance is pressed together.