An intravascular cutting device described herein uses high-pressure water, saline, or other fluid to cut tissue and other materials including but not limited to calcified tissue, stents, stent grafts, and other devices. In some embodiments, the cutting device includes a working end that has a nozzle with a hole to allow the release of a high-pressure fluid jet. Opposite of the nozzle is a catch plate or deflector anvil that prevents the fluid jet from cutting healthy tissue. The device user will place the item to be cut between the nozzle and catch plate and then advance the device along the item to be cut as the fluid jet is activated, thus cutting the object as it advances.