A cutter head for dredging soil, which is mountable to the ladder of a suction dredger for dredging soil, and connectable on a suction pipe for removing loosened soil, the cutter head comprising a cage-shaped support construction which is mountable to a drivable rotation shaft extending mainly in extension of the ladder and which has a circumferential surface provided with a number of cuffing tools for penetrating the soil, the cuffing tools comprising a number of disc-shaped penetration bodies of which the disc planes extend substantially perpendicular to the rotation shaft, so that they can transfer forces to the soil via their peripheral edges.