System and methods for piling and compressing pieces of insulation wool. The system includes a piling tower for receiving and piling multiple pieces of insulation wool and compression plates for compressing multiple pieces of insulation wool. The system includes a first and a second compression plate having plane and smooth upper and lower surfaces, whereby the compression plate can be slid out from between two compressed pieces of insulation wool. The compression plates receive a batch between the compression plates and compress the batch by moving one compression plate towards the other. The pressure on the insulation wool does not need to be relieved after the pieces have been compressed once as the system and method makes it possible to gradually increase compression toward the bottom of the piling tower by shifting between the first and second compression plate being used for compressing a batch of pieces of insulation wool.