In a method of inspecting a steel strip, at least one surface of the steel strip is illuminated and scanned by at least one camera so as to generate an image record that defines a two-dimensional image of the scanned surface. The image record is sent to an image processing unit, with the image processing unit subjecting the image record to the detection of defects and, upon detection of a surface defect, classifying the detected surface defect. The steel strip is magnetized and the magnetic flux leakage on the surface of the steel strip is detected by at least one magnetic field-sensitive flux leakage sensor in order to detect inhomogeneities in the interior of the steel strip, with the flux leakage sensor generating a flux leakage record that is sent to the image processing unit and that is subjected by the image processing unit to the detection of defects so as to identify inhomogeneities in the interior of the steel strip.