A dredging head assembly for deploying on the bed of a body of water, is provided, the assembly comprising a cutter housing having a cutting opening for extending over a section of the bed from which material is to be removed; a cutting assembly disposed within the cutter housing, the cutting assembly operable through the cutting opening in the cutter housing to loosen material from the bed; and an outlet opening in the cutter housing for removing water and entrained material from within the cutter housing under suction; wherein the cutter housing comprises a plurality of holes therein, in use water being drawn into the cutter housing through the holes under the action of reduced fluid pressure within the cutter housing. A dredging assembly comprising the dredging head assembly and a method of dredging are also provided.