Floating unit comprising a hull and a supporting system for said floating unit in shallow or very shallow water, said supporting system comprising: - at least one portion of supporting structure for said hull of said floating unit ; said portion of supporting structure is provided in said hull of said floating unit ; - at least one extendable supporting device operatively connected to said portion of supporting structure and suitable to support part of the weight of the floating unit and of the load arranged on said hull when supported by said at least one extendable supporting device and when said at least one extendable supporting device rests on a bed of a water body ; - at least one actuator device connected to said at least one portion of supporting structure and operatively connected to said at least one extendable supporting device for its extension or retraction; - at least one control device operatively connected to said actuator device to control the extraction or retraction movement of said at least one extendable supporting device ; wherein - said supporting system further comprises at least one hull stress monitoring device operatively connected to said at least one control device ; and - at least one device to monitor the stress, or load, on the at least one extendable supporting device operatively connected to said at least one control device ; characterized in that - said supporting system further comprises a sensor for measuring the water level in the water body, suitable to verify the floatability of the floating unit according to the draft of the hull ; - said at least one control device is operatively connected to said sensor for measuring the water level, so as to extend the at least one extendable supporting device if the water level falls to below a minimum value that would cause the hull of the floating unit to touch the bottom or bed of the water body; - said at least one extendable supporting device comprises more than three extendable legs . - at least one portion of supporting structure for said hull of said floating unit ; said portion of supporting structure is provided in said hull of said floating unit ; - at least one extendable supporting device operatively connected to said portion of supporting structure and suitable to support part of the weight of the floating unit and of the load arranged on said hull when supported by said at least one extendable supporting device and when said at least one extendable supporting device rests on a bed of a water body ; - at least one actuator device connected to said at least one portion of supporting structure and operatively connected to said at least one extendable supporting device for its extension or retraction; - at least one control device operatively connected to said actuator device to control the extraction or retraction movement of said at least one extendable supporting device ; - said supporting system further comprises at least one hull stress monitoring device operatively connected to said at least one control device ; and - at least one device to monitor the stress, or load, on the at least one extendable supporting device operatively connected to said at least one control device ; - said supporting system further comprises a sensor for measuring the water level in the water body, suitable to verify the floatability of the floating unit according to the draft of the hull ; - said at least one control device is operatively connected to said sensor for measuring the water level, so as to extend the at least one extendable supporting device if the water level falls to below a minimum value that would cause the hull of the floating unit to touch the bottom or bed of the water body; - said at least one extendable supporting device comprises more than three extendable legs . <EOS>