A tethered plastic screw stopper, comprising: a closure shell; a tamper band separably connected to the closure shell by a plurality of bridges (112, 116), namely a plurality of top bridges that form a top weakness line and a plurality of bottom bridges that form a bottom weakness line, that connect a bottom edge of the closure shell to a top edge of the tamper band, each of the bridges (112, 116) configured to be stretched and broken when the closure shell is moved from a first orientation prior to opening to a second orientation after opening; a strip made into the plastic material of the stopper between the tamper band and the closure shell using the bottom weakness line, formed by the plurality of bottom bridges, and the top weakness line, formed by the plurality of top bridges, top and bottom bridges (112, 116) being regularly or irregularly positioned around the perimeter of the top and bottom weakness lines (110, 114), respectively, wherein the strip is connected to the closure shell at a junction point, the strip comprising an extremity at an end of the top weakness line positioned above a first set of bridges located along the bottom weakness line, the extremity linking the strip with the closure shell at the junction point; and a hinge linking the strip and the tamper band, the hinge being positioned beneath a set of bridges located along the top weakness line, and when facing the stopper and looking at the hinge, the end of the top weakness line is located on the left of the hinge; characterized in that said end of the top weakness line is angularly positioned within 40° of the vertical axis of the bottom bridge located at the nearest from the hinge considering a clockwise screwing motion configuration. a closure shell; a tamper band separably connected to the closure shell by a plurality of bridges (112, 116), namely a plurality of top bridges that form a top weakness line and a plurality of bottom bridges that form a bottom weakness line, that connect a bottom edge of the closure shell to a top edge of the tamper band, each of the bridges (112, 116) configured to be stretched and broken when the closure shell is moved from a first orientation prior to opening to a second orientation after opening; a strip made into the plastic material of the stopper between the tamper band and the closure shell using the bottom weakness line, formed by the plurality of bottom bridges, and the top weakness line, formed by the plurality of top bridges, top and bottom bridges (112, 116) being regularly or irregularly positioned around the perimeter of the top and bottom weakness lines (110, 114), respectively, wherein the strip is connected to the closure shell at a junction point, the strip comprising an extremity at an end of the top weakness line positioned above a first set of bridges located along the bottom weakness line, the extremity linking the strip with the closure shell at the junction point; and a hinge linking the strip and the tamper band, the hinge being positioned beneath a set of bridges located along the top weakness line, and when facing the stopper and looking at the hinge, the end of the top weakness line is located on the left of the hinge; characterized in that said end of the top weakness line is angularly positioned within 40° of the vertical axis of the bottom bridge located at the nearest from the hinge considering a clockwise screwing motion configuration.