A plain bearing is described having a bearing metal layer, supported by a support shell, made of an aluminum or copper alloy and having a lead-free running layer, possibly applied to the bearing metal layer over an intermediate layer, made of a zinc matrix having at least one further alloy element. To achieve good tribological properties, it is suggested that the zinc matrix of the running layer contains 1 to 49 wt.-% bismuth as an additional alloy element.