A method of producing a composite metal material such as clad bloom by continuous casting comprises the steps of supplying molten metals of different compositions by using two immersion nozzles into the strand pool at different positions and forming a static magnetic field zone on the boundary between the two types of metals to prevent mixing of the metals of different composition. The method enables production of a composite material exhibiting a sharp boundary between the two types of metals used and enables the thickness of the respective metal layers to be easily controlled by adjusting the location of application of the static magnetic field or the withdrawal speed of the strand of cast metal.