Apparatus for cooling rolled wire rod consists of a first part which guides the wire rectilinearly and cools it with water, a turn-laying unit which forms the wire into turns and lays the turns in staggerred disposition on a continuously running conveyor, and a second part comprising the conveyor which allows passage of an approximately vertically directed stream of air to the turns and conveys the wire turns to a coil forming station which collects them. In order to provide substantial adaptability to various cooling requirements by means of simple and inexpensive conversion, the two parts are composed of a plurality of modules of the same modular length or an integral multiple of the modular length. A base frame carries the modules and the turn-laying unit is fixed on the base frame in a longitudinally displaceable manner. Thus, the lengths of the first and second parts can be changed, and individual modules or groups can be replaced.