A safety device for a motor vehicle which has a door frame and a door contained within the door frame. The safety device includes: a gas generator; a sensor for sensing at least one of a side impact and a roll-over for activating the gas generator; and an inflatable element connected to the gas generator for being inflated with gas from the gas generator upon activation of the gas generator. The inflatable element can thus assume a non-inflated mode and an inflated mode and can further be positioned adjacent the door in an inflated-mode thereof. The inflatable element is further made of fabric and includes: a first fabric layer defining a front part thereof; a second fabric layer defining a back part thereof, selected parts of the first fabric layer and second fabric layer being interconnected for defining one of linear and point shaped links where the first fabric layer and the second fabric layer are directly secured together. The inflatable element thus incorporates a plurality of substantially parallel elongated cells defined between the links, the cells being configured such that, upon inflation of the inflatable element with the gas from the gas generator, a lower edge portion of the inflatable element is tensioned. The inflatable element further includes an upper edge portion which is configured to be secured to the door frame all along a non-linear part of the door frame.