The present invention relates to an apparatus for recognizing the replacement state of a high-strength fiber rope for lifting gear such as cranes as well as to a lifting gear such as a crane in which such a high-strength fiber rope is installed. It is the underlying object of the present invention to provide an improved apparatus for determining the replacement state of a high-strength fiber rope and to provide improved lifting gear having such a fiber rope that avoid the disadvantages of the prior art and further develop the latter in an advantageous manner. To be able to more easily determine the respective degree of damage of the jacket and thus the closeness to the imminent replacement state of the rope, the apparatus is provided with a reference damage memory in which reference representations of the rope with different degrees of damage to the jacket of the rope are contained to allow for an optical comparison of an actual image of the rope with the stored reference representations and thus, determination of the replacement state.