A hybrid airship having aerostatic and aerodynamic lift including: - a means of propulsion; - a flexible external envelope; - at least one primary enclosure Ep filled with lifting gas, characterized in that the said primary enclosure Ep having an elastic wall P 1 separating this enclosure from compartment C 1, the latter having an elastic wall P i separating compartment C 1 from compartment C i, the latter having an elastic wall P i+1 separating the compartment C i from compartment C i+1, and so on up until elastic wall P J+1 separating compartment C J from compartment C J+1 where J corresponds to a whole number greater than or equal to 1, each compartment C i being equally delimited by the flexible exterior envelope; - a means of communication V i between each compartment C i and its adjacent compartment C i+1; - a means of control and means of communication V i; the said means of control being configured so as: (a) during an ascent phase with lifting gas retained by one of the walls P i with i being between 1 and J, to maintain the means of communication V i in a closed configuration so that the lifting gas, expanding with the altitude, exerts on wall P i a pressure capable of producing an elastic deformation of wall P i from a nominal position to a maximum deformation position in which it flattens itself against wall P i+1 by reducing the volume of compartment C i substantially to zero, due to an evacuation of the air initially occupying compartment C i; (b) then when wall P i is in the position of maximum deformation, to open the means of communication V i in such a way that wall P i returns to its nominal position, by automatic re-balancing of the pressure of the lifting gas on both sides of this wall P i; (c) then where appropriate, during continuation of the ascent phase and after the return of wall P i to nominal position, to repeat actions (a) and (b) for wall P i+1 as many times as necessary as long as i remains less than or equal to J. - a means of propulsion; - a flexible external envelope; - at least one primary enclosure Ep filled with lifting gas, characterized in that the said primary enclosure Ep having an elastic wall P 1 separating this enclosure from compartment C 1, the latter having an elastic wall P i separating compartment C 1 from compartment C i, the latter having an elastic wall P i+1 separating the compartment C i from compartment C i+1, and so on up until elastic wall P J+1 separating compartment C J from compartment C J+1 where J corresponds to a whole number greater than or equal to 1, each compartment C i being equally delimited by the flexible exterior envelope; - a means of communication V i between each compartment C i and its adjacent compartment C i+1; - a means of control and means of communication V i; (a) during an ascent phase with lifting gas retained by one of the walls P i with i being between 1 and J, to maintain the means of communication V i in a closed configuration so that the lifting gas, expanding with the altitude, exerts on wall P i a pressure capable of producing an elastic deformation of wall P i from a nominal position to a maximum deformation position in which it flattens itself against wall P i+1 by reducing the volume of compartment C i substantially to zero, due to an evacuation of the air initially occupying compartment C i; (b) then when wall P i is in the position of maximum deformation, to open the means of communication V i in such a way that wall P i returns to its nominal position, by automatic re-balancing of the pressure of the lifting gas on both sides of this wall P i; (c) then where appropriate, during continuation of the ascent phase and after the return of wall P i to nominal position, to repeat actions (a) and (b) for wall P i+1 as many times as necessary as long as i remains less than or equal to J.