A valve prosthesis for location at a valve annulus, the prosthesis including: - an annular structure (2, 3) including an armature and a set of leaflets, the annular structure (2, 3) having an axial blood flow lumen and at least one valve leaflet (3a, 3b, 3c) movable under the action of blood between an open position and a closed position to permit and to impede, respectively, blood flow through said axial blood flow lumen, and - a plurality of anchoring members attached around the annular structure, the anchoring members including: - a web portion coupled to the annular structure (2, 3) and extending axially thereto, and - two end portions (10b, 10c) at axially opposed sides of the web portion, the end portions (10b, 10c) admitting: - a) an insertion condition for insertion of the prosthesis, wherein the end portions (10b, 10c) are aligned to the web portion and extend axially with respect to the annular structure (2, 3); - b) an anchoring condition for anchoring the prosthesis, wherein the end portions (10b, 10c) extend at an angle (α, β) to the web portion radially outwardly of the annular structure to provide anchoring of the prosthesis proximally and distally, respectively, of the annulus, - a sheet-like covering on the outer side of the annular structure (2, 3) the valve prosthesis being characterized in that the anchoring members have their web and end (10b, 10c) portions radially outwardly of the sheet-like covering, whereby the sheet-like covering acts as a separation member between the armature and the anchoring members. - an annular structure (2, 3) including an armature and a set of leaflets, the annular structure (2, 3) having an axial blood flow lumen and at least one valve leaflet (3a, 3b, 3c) movable under the action of blood between an open position and a closed position to permit and to impede, respectively, blood flow through said axial blood flow lumen, and - a plurality of anchoring members attached around the annular structure, the anchoring members including: - a web portion coupled to the annular structure (2, 3) and extending axially thereto, and - two end portions (10b, 10c) at axially opposed sides of the web portion, the end portions (10b, 10c) admitting: - a) an insertion condition for insertion of the prosthesis, wherein the end portions (10b, 10c) are aligned to the web portion and extend axially with respect to the annular structure (2, 3); - b) an anchoring condition for anchoring the prosthesis, wherein the end portions (10b, 10c) extend at an angle (α, β) to the web portion radially outwardly of the annular structure to provide anchoring of the prosthesis proximally and distally, respectively, of the annulus, - a web portion coupled to the annular structure (2, 3) and extending axially thereto, and - two end portions (10b, 10c) at axially opposed sides of the web portion, the end portions (10b, 10c) admitting: - a) an insertion condition for insertion of the prosthesis, wherein the end portions (10b, 10c) are aligned to the web portion and extend axially with respect to the annular structure (2, 3); - b) an anchoring condition for anchoring the prosthesis, wherein the end portions (10b, 10c) extend at an angle (α, β) to the web portion radially outwardly of the annular structure to provide anchoring of the prosthesis proximally and distally, respectively, of the annulus, - a) an insertion condition for insertion of the prosthesis, wherein the end portions (10b, 10c) are aligned to the web portion and extend axially with respect to the annular structure (2, 3); - b) an anchoring condition for anchoring the prosthesis, wherein the end portions (10b, 10c) extend at an angle (α, β) to the web portion radially outwardly of the annular structure to provide anchoring of the prosthesis proximally and distally, respectively, of the annulus, - a sheet-like covering on the outer side of the annular structure (2, 3)