A flexographic printing device and a method are provided for simultaneously printing at least two material webs having different thicknesses in the printing device. The flexographic printing device includes a printing unit having a printing roller carrying on a surface thereof an image to be printed, an impression roller and an anilox roller adapted to feed printing ink from a printing ink chamber onto a printing cliché mounted on the printing roller. The printing unit is configured for simultaneously printing the material webs having different thicknesses, by adjusting the radial extension of the surface of the printing roller, impression cylinder and/or anilox roller to be adapted to the respective material web to be printed.