An endovascular self-curving stent-graft (20) includes a self-curving longitudinal portion (22), which is curved so as to define an innermost curve (26) and an outermost curve (28), when the stent-graft (20) is unconstrained in a radially-expanded state. The stent-graft (20) includes a plurality of circumferential strut members (30); a compression-generation spring (40), which (a) is in an elongated configuration when the stent-graft (20) is in a radially-compressed state, and (b) overlaps respective first portions (44) of at least two of the circumferential strut members (30); and an anti-buckling spring (50), which overlaps respective second portions (54) of at least two of the circumferential strut members (30). The anti-buckling spring (50) and the compression-generation spring (40) are together configured to curve the self-curving longitudinal portion (22) when the stent-graft (20) is unconstrained in the radially-expanded state, such that a lesser length of the self-curving longitudinal portion (22), measured along the innermost curve (26), is less than 80% of a greater length of the self-curving longitudinal portion (22), measured along the outermost curve (28).L'invention concerne une endoprothèse à courbure automatique endovasculaire (20) comprenant une partie longitudinale à courbure automatique (22), qui est courbée de manière à définir une courbe la plus interne (26) et une courbe la plus externe (28), lorsque l'endoprothèse (20) n'est pas contrainte dans un état d'extension radiale. L'endoprothèse (20) comprend une pluralité d'éléments de support circonférentiels (30); un ressort de génération de compression (40), qui (a) est dans une configuration allongée lorsque l'endoprothèse (20) est dans un état radialement comprimé, et (b) chevauche des premières parties respectives (44) d'au moins deux des éléments de support circonférentiels (30); et un ressort anti-flambage (50), qui chevauche des secondes parties respectives (54) d'au moins deux des éléments