Offshore structure comprising: - a foundation system including three or more suction buckets configured to be installed in the seabed, the three or more suction buckets being located at corners of an imaginary polygon, viewed in top view, to act as the foundation system or a part of the foundation system; - a connector body carried by the three or more suction buckets, the connector body being configured to carry a payload, the payload being a tower of an offshore wind energy installation of at least 9 MW extending upwards from the seabed at an offshore location where the seabed is at least 50 meters below the local water level, the installation comprising an electricity cable configured to run to an electricity consumer on land to bring the offshore generated electricity to it, the tower being configured to be placed centrally between the three or more suction buckets, seen in top view, and to be attached rigidly on the connector body, the tower being formed by a single tube and being made of thin-walled steel with a wall thickness between 20 and 200 millimeters, the tube carrying a gondola with rotor blades at least 20 meters above the local water level; characterised in that the connector body has a height of not more than 1.5 times the external diameter of a prismatic part of the tower above the water level, wherein the attachment of the tower to the connector body is arranged as a beam of which a single longitudinal end is fixedly wedged so that the tower extends vertically upwards from the connector body as a cantilever beam, the tower being above the connector body free from structures that transfer mechanical loads from the tower onto the seabed, the foundation system in use extending a maximum of 15 meters above the local seabed and is located completely below the highest point of the connector body and only in the area downwards from the highest point of the connector body extend structures that are to the tower attached and transfer all loads, from the tower to the seabed, the connector body having a plurality of arms, all of the plurality of arms extending from a central part of the connector body radially outwardly in a horizontal direction or at an angle of less than 20 degrees relative to the horizontal direction to each of the respective suction buckets, the arms being attached to the suction buckets at ends of the respective arms. - a foundation system including three or more suction buckets configured to be installed in the seabed, the three or more suction buckets being located at corners of an imaginary polygon, viewed in top view, to act as the foundation system or a part of the foundation system; - a connector body carried by the three or more suction buckets, the connector body being configured to carry a payload, the payload being a tower of an offshore wind energy installation of at least 9 MW extending upwards from the seabed at an offshore location where the seabed is at least 50 meters below the local water level, the installation comprising an electricity cable configured to run to an electricity consumer on land to bring the offshore generated electricity to it, the tower being configured to be placed centrally between the three or more suction buckets, seen in top view, and to be attached rigidly on the connector body, the tower being formed by a single tube and being made of thin-walled steel with a wall thickness between 20 and 200 millimeters, the tube carrying a gondola with rotor blades at least 20 meters above the local water level;