A medical device for supporting at least one region of the body, especially knee or ankle orthesis, support belt or support strip, comprising at least one textile panel (26,27) having a longitudinal direction and a transversal direction arranged so as to encircle all or part of said region of the body to be supported, characterized in that: - said textile panel comprises several woven textile strips (1,28,29) at least partially superposed, - said woven strips (1,28,29) each having a warp direction and a weft direction (t), and each comprising weft threads, first elastic warp threads of which one or several first elastic warp thread(s) is/are monofilament thread(s), in elastane or in elastodiene, forming an covered or wrapped elastic core with one or several cover thread(s), second non-elastic warp threads, and third warp threads, said first warp threads and said second warp threads are woven according to a leno weave, the second warp threads forming the doup threads, - the warp and weft directions of woven strips are parallel to each other or the warp or weft direction of a given woven strip is arranged according to an alpha angle greater than 0° and lower than 90° relative to the warp or weft direction of another woven strip, - in that said textile panel (26,27) is elastic in the longitudinal direction and has a force in the longitudinal direction which is greater than or equal to 500 cN/cm, to achieve an elongation equal to 30%, - in that the number of weft threads per centimetre in each of the woven strips is less than or equal to 25, - in that one at least of said weft threads comprises a number of filaments greater than or equal to 1 and less than or equal to 5, each filament having a diameter greater than or equal to 0.10 mm, and in that the second warp threads make a turn for one insertion of a weft thread. - said textile panel comprises several woven textile strips (1,28,29) at least partially superposed, - said woven strips (1,28,29) each having a warp direction and a weft direction (t), and each comprising weft threads, first elastic warp threads of which one or several first elastic warp thread(s) is/are monofilament thread(s), in elastane or in elastodiene, forming an covered or wrapped elastic core with one or several cover thread(s), second non-elastic warp threads, and third warp threads, said first warp threads and said second warp threads are woven according to a leno weave, the second warp threads forming the doup threads, - the warp and weft directions of woven strips are parallel to each other or the warp or weft direction of a given woven strip is arranged according to an alpha angle greater than 0° and lower than 90° relative to the warp or weft direction of another woven strip, - in that said textile panel (26,27) is elastic in the longitudinal direction and has a force in the longitudinal direction which is greater than or equal to 500 cN/cm, to achieve an elongation equal to 30%, - in that the number of weft threads per centimetre in each of the woven strips is less than or equal to 25, - in that one at least of said weft threads comprises a number of filaments greater than or equal to 1 and less than or equal to 5, each filament having a diameter greater than or equal to 0.10 mm,