Abstract: An improved garment finishing machine includes an exterior housing with an entrance and an exit. An interior garment processing chamber processes garments moving downstream from the entrance to the exit. A blower draws air through the processing chamber. An air intake is located between the blower and the processing chamber. The improvement is a continuous lint filtration system. The filtration system includes a filtration medium adapted for capturing lint entrained in air drawn through the garment processing chamber and into the intake. A roller assembly is provided for mechanically advancing the filtration medium across the intake, such that a lint-covered portion of the filtration medium is automatically replaced at the intake with a clean portion of the filtration medium.