An apparatus for shrinking a heat-shrinkable hood over a stack of goods has an upright guide adjacent the hooded stack of goods, an upper frame vertically displaceable on the guide and provided with a heater capable of shrinking the hood and a lower frame below the upper frame, vertically displaceable on the guide below the upper frame, and provided with a heater capable of shrinking the hood. Respective upper and lower drives connected to the frames vertically displace same on the guide independently of each other. First the stack of goods is positioned in a treatment station with the hood pulled down over the goods, a lower end edge of the hood hanging down below a lower end of the stack of goods, and an upper closed end of the hood on an upper surface of the stack of goods. Then to secure the hood in place the hanging-down lower end edge of the hood is heated to shrink it in under the lower end of the stack of goods. At the same time the upper closed end of the hood is heated while moving a lower heater vertically upward from the lower end edge of the hood to simultaneously shrink the upper closed end down onto the upper surface of the stack while shrinking side regions of the hood inward into engagement with side surfaces of the stack of goods.
