The invention relates to an endovascular cutting device for carrying out surgical or medical operations. According to the invention, such a device includes two cutting blades, a means for remotely actuating the two cutting blades, and at least two flexible guide rods, said cutting blades being slidably mounted onto said guide rods, and said remote actuation means including a flexible transmission means, wherein a channel, through which the flexible guide rods (50) are to be inserted, extends through said cutting blades (11, 12, 101, 102) over the entire outer length thereof.