A fastening system for fastening a cabin fitting element with at least one electrical installation on a support structure of an aircraft. During installation into the support structure, the cabin fitting element is fixed in succession by at least one loose bearing in at least one degree of translational freedom and then by at least one fixed bearing in the at least one further degree of translational freedom. In order to ensure an improved installation and dismantling of cabin covering panels with electrical installation and to reduce the weight due to the components and also the installation space which is required, according to the disclosed embodiments a contact device with a bush arrangement and a plug arrangement is integrated in the at least one loose bearing and/or the at least one fixed bearing, by which an electrical connection is produced between the support structure and the electrical installation of the cabin fitting element on fixing at least of one degree of translational freedom.