An apparatus for cleaning swimming pools comprises a self-propelled device comprising: movement means for moving the self-propelled device in a swimming pool; a water recirculation circuit; means for cleaning the surfaces of the swimming pool; and a power supply battery for supplying electric energy to one or more out of the movement means, the recirculation circuit and the cleaning means; the apparatus also comprises a recharging base for the power supply battery, the base having at least a first inductive element positioned in the swimming pool; the recharging base comprising a supporting unit having a first end integral with the swimming pool and a second end which is opposite to the first end and suspended in the swimming pool; the first inductive element hanging from the second end of the supporting unit.