This present invention describes a system for fixation of a flexible stretcher to a hard stretcher, comprising multiple belts made of flexible material affixed via a multiplicity of strap adjusters and bars (1 and 2) to the flexible stretcher, and a flexible and adjustable cross connection belt (3), which, because of their disposition and technical characteristics, enable fixation of the hard stretcher, together with a victim individual, to the body of the flexible stretcher, making the movement of the individual from one stretcher to another unnecessary.