Abstract: An apparatus and method for producing strapped bales of highly compressible textile fibers is disclosed. The apparatus includes a supply chamber for supplying loose fibers to a tramping chamber which is stationary. A ram assembly repeatedly tramps loose fibers to form a compacted fiber mass which is then formed into a compressed fiber block within a stationary compression chamber disposed in fiber transfer relation to the stationary tramping chamber. The stationary tramping and compression chambers are off-set and the fiber mass is transferred through a transfer opening into the compression chamber. During the compression cycle, a new fiber mass may be tramped in the tramping chamber allowing a high production rate of strapped fiber bales. The compressed fiber block is formed between a movable main platen and a movable secondary platen which are axially aligned in the compression chamber.