In a cooling package for a construction machine, where a cooler (16) from among coolers (15, 16) is disposed separately from an engine (10) and the separately provided cooler (16) includes a screen (19), a lid (30, 50) for covering the screen (19) from above is provided on an upper face of the construction machine independently of a side door (21A, 21B) provided on a side face of the construction machine for covering the cooler (15, 16) from forwardly and an engine hood (22) provided on the upper face of the construction machine for covering the engine (10) and the cooler (15) provided for the engine (10) from above so that, even when the location forwardly of the cooler (16) disposed separately from the engine (10) is occupied by some other apparatus, the screen (19) can be removed or mounted without being disturbed by the apparatus.