Crane height limiting system and crane

The utility model discloses a crane height limiting system and a crane. The crane height limiting system comprises a cargo boom and a hook, wherein the hook is provided with a detection plane, and the detection plane is a plane segment which is arranged along a horizontal direction when the hook is in a working state. The crane height limiting system also comprises a radar and a controller, wherein the radar is arranged at the boom head of the cargo boom, and the radar detects the distance between the radar and the detection plane and sends distance information to the controller; the controller is connected with the radar, and the controller receives the distance information and judges whether height limiting operation is executed or not according to the distance information. The radar detects the distance information of the hook and the boom head and sends the distance information to the controller to be processed, and the controller judges whether the height limiting operation is executed or not according t