Ski binding device for fastening a mountaineering boot on a downhill ski or the like, of the type comprising a toepiece and a heelpiece which are adapted to be rigidly fixed on the back of the ski, aligned along the ski longitudinal axis, and are structured so as to selectively clamp/hook and retain respectively the front part and the rear part of the shell of the boot; the toepiece being provided with a clamping member which is structured for selectively clamping and stably retaining the front part of the shell, and at the same time allowing the shell to oscillate/pivot freely on the toepiece about a boot rotation axis which is locally substantially perpendicular to the ski longitudinal axis; the heelpiece instead comprising a fastening base structured for being rigidly fastened on the back of the downhill ski or the like; a turret protruding upwards from the fastening base; and a hooking projecting appendix that juts out from the turret towards the toepiece while remaining locally substantially parallel to a first reference axis (c) locally substantially aligned to the ski longitudinal axis, and is structured so as to hook/couple to the rear part of the shell to stably retain the heel of the ski boot in abutment on or close to the back of the ski, therefore preventing any rotation of the boot on the toepiece about said boot rotation axis; the binding device being characterized in that the heelpiece comprises - a latch element which extends in pass-through manner through the body of the turret while remaining locally substantially parallel to said first reference axis, with the possibility of moving forwards and backwards with respect to the turret parallelly to said first axis; the hooking projecting appendix being formed by the tip of said latch element; - a heel rising member which is fixed on the top of the turret with the possibility of moving on the turret from and towards a working position in which the heel rising member juts out beyond the side edge of the turret to directly support the heel of the ski boot in a raised position; and - a mechanical connecting member which is adapted to connect the heel rising member to the underlying latch element, and is structured so as to transmit the translating motion of the latch element to the heel rising member, so as to move the heel rising member on the top of the turret substantially together with the latch element. - a latch element which extends in pass-through manner through the body of the turret while remaining locally substantially parallel to said first reference axis, with the possibility of moving forwards and backwards with respect to the turret parallelly to said first axis; the hooking projecting appendix being formed by the tip of said latch element; - a heel rising member which is fixed on the top of the turret with the possibility of moving on the turret from and towards a working position in which the heel rising member juts out beyond the side edge of the turret to directly support the heel of the ski boot in a raised position; and - a mechanical connecting member which is adapted to connect the heel rising member to the underlying latch element, and is structured so as to transmit the translating motion of the latch element to the heel rising member, so as to move the heel rising member on the top of the turret substantially together with the latch element.