The present invention provides a sponge blasting apparatus comprising: a recovering unit which sucks and recovers a blasting medium jetted out of a nozzle; a sorting unit which sorts the blasting medium sucked and recovered by the recovering unit into a reusable blasting medium and an unreusable blasting medium; a blower which gives a sucking force to the recovering unit via the sorting unit; a dust collector which removes dust from an exhaust air discharged from the sorting unit with a sucking force of the blower; a picking-apart unit which picks apart the reusable blasting medium sorted by the sorting unit; a continuous feeder which, having at least two reservoir tanks into which the reusable blasting medium picked apart by the picking-apart unit is inputted, changes over the two tanks between each other to continuously feed the nozzle with the blasting medium deposited in the tanks; and a carrier which carries to the continuous feeder the reusable blasting medium sorted by the sorting unit.