Method of producing a continuous strip-shaped composite material, comprising the steps of: (i) providing a basic material, which is produced by at least one casting machine as a continuous strip of, in particular, steel, and providing at least one cladding material, which is unwound in the form of at least one metal strip from a coil unwinding device, (ii) bringing together a slab formed by hardening from the strip produced by the casting machine and the metal strip unwound from the coil unwinding device, and (iii) hot-rolling the materials, which are brought in direction towards one another, formed from the slab formed by hardening from the strip produced by the casting machine and the at least one metal strip unwound from the coil unwinding device so that a single continuous strip-shaped composite material consisting of the basic material and the at least one cladding material is thereby produced by roll-bonding, wherein the basic material is continuously vertically cast in the casting machine, characterised in that the basic material exits through an opening of a mould of the casting machine into a strip guide system with cooling means, the coil unwinding device is received in a heatable chamber and the metal strip wound thereon is thereby heated, prior to the step (ii) and/or during step (ii) the slab formed by hardening from the strip produced by the casting machine and the metal strip unwound from the coil unwinding device are heated by way of induction heating means so that the slab and the metal strip in the step (ii) are brought together in the hot state at a temperature lying above the recrystalisation temperature of the basic material and the cladding material, prior to the step (ii) the slab formed by hardening from the strip produced by the casting machine is descaled and the metal strip unwound from the coil unwinding device is cleaned, preferably descaled, and prior to the step (iii) a surface temperature of at least one material partner formed from the slab formed from the strip produced by the casting machine and/or the metal strip unwound from the coil unwinding device is increased at a side opposite the respective other material partner by way of induction heating means. (i) providing a basic material, which is produced by at least one casting machine as a continuous strip of, in particular, steel, and providing at least one cladding material, which is unwound in the form of at least one metal strip from a coil unwinding device, (ii) bringing together a slab formed by hardening from the strip produced by the casting machine and the metal strip unwound from the coil unwinding device, and (iii) hot-rolling the materials, which are brought in direction towards one another, formed from the slab formed by hardening from the strip produced by the casting machine and the at least one metal strip unwound from the coil unwinding device so that a single continuous strip-shaped composite material consisting of the basic material and the at least one cladding material is thereby produced by roll-bonding, wherein the basic material is continuously vertically cast in the casting machine, characterised in that the basic material exits through an opening of a mould of the casting machine into a strip guide system with cooling means, the coil unwinding device is received in a heatable chamber and the metal strip wound thereon is thereby heated, prior to the step (ii) and/or during step (ii) the slab formed by hardening from the strip produced by the casting machine and the metal strip unwound from the coil unwinding device are heated by way of induction heating means so that the slab and the metal strip in the step (ii) are brought together in the hot state at a temperature lying above the recrystalisation temperature of the basic material and the cladding material, prior to the step (ii) the slab formed by hardening from the strip produced by the casting machine is descaled and the metal strip unwound from the coil unwinding device is cleaned, preferably descaled, and prior to the step (iii) a surface temperature of at least one material partner formed from the slab formed from the strip produced by the casting machine and/or the metal strip unwound from the coil unwinding device is increased at a side opposite the respective other material partner by way of induction heating means.