The invention relates to an aspiration catheter for the aspiration of material from blood vessels. The aspiration catheter according to the invention comprises a tubular catheter wall (2) having a first distal opening (3) and a first proximal opening (4). These two openings (3, 4) are connected to each other by a first lumen (5). The aspiration catheter further comprises a tubular guide sleeve (6) having a second distal opening (7) and a second proximal opening (8). A second lumen (9) extends between these two openings (7, 8). The tubular guide sleeve is arranged within the first lumen (5), wherein the second lumen (9) extends coaxially to the first lumen (5). The second proximal opening (8) extends laterally through the tubular catheter wall (2). The tubular guide sleeve is connected to the tubular catheter wall (2) in a region (X) of the first distal opening (3) and in a region (Y) of the second proximal opening (8). The invention further relates to a component kit for the aspiration of material from blood vessels and to a method for carrying out the same.