A safety seat for a baby including a baby container, a mounting rod and a baby restraint pad. The baby container is made of a shell and a wire frame. The shell is an elastic material, which is either net-like or opaque. The wire frame is covered by the elastic material and forms the shell into a three-dimensional curved triangular shape with an interior volume for holding a baby. The shape has a rectangular base, parabolic sides and curved end pieces. The mounting rod connects to the baby container along a top edge of the triangular shape so as to form a single axis of rotation for swinging the container. The mounting rod also attaches to a support frame of a motor vehicle, stroller or rocker. The baby restraint pad has a rectangular base corresponding to the base of the baby container so that the pad can be placed in an interior volume of the baby container. The baby restraint pad also has stabilizer blocks longitudinally spaced on the top surface of the pad so as to securely hold a baby when swinging.