A transfer system for transferring thermoplastic material containers from a linear operating machine to a rotary operating machine having a first linear transfer device apt to pick the containers from the linear operating machine and to translate along a first axis to an exchange zone and vice versa, a wheel cooperating with the rotary operating machine peripherally provided with seats for the containers and apt to rotate about a second axis perpendicular to the first axis, at least one second linear transfer device apt to pick the container from the first linear transfer device in the exchange zone and to transfer them to the seats, the at least one second linear transfer device being apt to translate parallel to the first axis from the exchange zone to an unloading zone proximal to the wheel and vice versa.