The invention provides a mop wiping object water-squeezing device and a mop cleaning bucket, and belongs to the technical field of sweeping. With the mop wiping object water-squeezing device and the mop cleaning bucket, the problem that the existing mop cleaning head is forcefully stuffed into a rubbing sleeve, and thus the cleaning head is easily damaged is solved. The mop wiping object water-squeezing device comprises a bracket, a first slider and a second slider, and a water squeezing part is mounted on the second slider; and the first slider and the bracket are connected through a first guide structure, and the second slider and the bracket are connected through a second guide structure. The first slider and the second slider are connected through a linking strucutre, so that the watersqueezing part moves towards the direction close to the first slider, then the space between the water squeezing part and the leaning face of the first slider is narrowed, and thus the speed is obviously improved. During the water-squeezing work, the first slider and the water squeezing part clamp the cleaning head, the cleaning head is then moved so that the water squeezing part carries out water squeezing on a wiping object, therefore, the phenomenon that the cleaning head is forcefully stuffed between the first slider and the water squeezing part is avoided, and further, the service life of the cleaning head is prolonged.