A flame resistant to nonflammable composite panel is produced from a nonextrudable core mixture with a pourable, nonflammable filling material and a binder, and on both sides cover strips, flexibly bonded to the core. For a continuous production of the composite panel in one operation, the core mixture is poured onto a flexible lower adhesive film, supported as it runs in, and a pile extending over the entire width forms there. Between the lower adhesive film and a flexible upper adhesive film, likewise supported as it runs in, material of the core mixture is continuously and uniformly drawn through a V gap and compacted there for the first time and calibrated to thickness. The adhesive films containing the precompacted core mixture are adhesively bonded to the continuously fed cover strips. The apparatus comprises a stretching roller for each of the adhesive films, a device for the uniform application of the core mixture, first means for forming a settable running-in angle and the V gap, second means for supporting the lower adhesive film and third means for the concluding pressing and heating, as well as a device for cutting to length.