A vessel provided with at least one rigid wingsail installation, said installation comprising: - a mast structure and a rigid wingsail supported by the mast structure, wherein the mast structure comprises a foot that is secured to the vessel and a mast top, wherein the mast top is rotatable about a substantially vertical wingsail rotation axis relative to the vessel to adjust the angle of incidence of the wind, and wherein the mast top is provided with a primary tilting assembly, wherein the rigid wingsail comprises: - a rigid wingsail main panel having a lower end, an upper end, a leading edge, and a trailing edge, which rigid wingsail main panel is connected at a position intermediate its lower and upper ends to the mast structure via the primary tilting assembly, the primary tilting assembly allowing for tilting of the rigid wingsail main panel relative to the mast top about a primary tilt axis that is non-parallel, preferably substantially perpendicular, to the vertical wingsail rotation axis, and characterised in that said rigid wingsail comprises: - a rigid wingsail top panel having a lower end, an upper end, a leading edge, and a trailing edge, which rigid wingsail top panel is connected at its lower end to the upper end of the rigid wingsail main panel via a secondary tilting assembly, the secondary tilting assembly allowing for tilting of the rigid wingsail top panel relative to the rigid wingsail main panel about a secondary tilt axis that is non-parallel, preferably substantially perpendicular, to the vertical wingsail rotation axis, more preferably parallel to the primary tilt axis. - a mast structure and a rigid wingsail supported by the mast structure, - a rigid wingsail main panel having a lower end, an upper end, a leading edge, and a trailing edge, which rigid wingsail main panel is connected at a position intermediate its lower and upper ends to the mast structure via the primary tilting assembly, the primary tilting assembly allowing for tilting of the rigid wingsail main panel relative to the mast top about a primary tilt axis that is non-parallel, preferably substantially perpendicular, to the vertical wingsail rotation axis, and characterised in that said rigid wingsail comprises: - a rigid wingsail top panel having a lower end, an upper end, a leading edge, and a trailing edge, which rigid wingsail top panel is connected at its lower end to the upper end of the rigid wingsail main panel via a secondary tilting assembly, the secondary tilting assembly allowing for tilting of the rigid wingsail top panel relative to the rigid wingsail main panel about a secondary tilt axis that is non-parallel, preferably substantially perpendicular, to the vertical wingsail rotation axis, more preferably parallel to the primary tilt axis. - a rigid wingsail top panel having a lower end, an upper end, a leading edge, and a trailing edge, which rigid wingsail top panel is connected at its lower end to the upper end of the rigid wingsail main panel via a secondary tilting assembly, the secondary tilting assembly allowing for tilting of the rigid wingsail top panel relative to the rigid wingsail main panel about a secondary tilt axis that is non-parallel, preferably substantially perpendicular, to the vertical wingsail rotation axis, more preferably parallel to the primary tilt axis.