To develop a system capable of travelling by simple electromagnetic control by supporting a sleeper and a support member to constitute a floating rail of a magnetic floating travelling vehicle on a beam through a vibration isolation member low in rigidity and high in a damping property.

It is constituted to transmit a floating load of a rail 1 consisting of a magnetic material to a beam 4 through a support block 3 by arranging sleepers 2 made of concrete and H-type steel and assembling them in a ladder type. The sleeper 2 is directly fixed on the beam 4 by a fixing bolt 5 passing through the support block 3. Vibration isolation members 7, 8 consisting of chloroprene rubber plates through washers 6, low in rigidity and high in a damping factor are respectively arranged between a head part of the fixing bolt 5 and the sleeper 2 and between the head part of the fixing bolt 5 and the support block 3. Consequently, it is possible to constantly transmit the load in the compression direction by the vibration isolation members 7, 8 and to give vibration absorptivity to rail support composition itself. Accordingly, limitation of floating control logic is eliminated, and free designing of a system is carried out.