Abstract: Shape-tube electrochemical machining (STEM) systems, and methods of forming curved holes in components using STEM systems are disclosed. The systems may include a slider element, and an electrode coupled to the slider element. The electrode may include a linear body section, and a tip section. The tip section may be angled at a non-linear angle relative to the linear body section. The systems may also include a guide block slidably engaging the electrode. The guide block may include at least one aperture formed between a first and second section. The aperture(s) may receive the electrode. Additionally, the systems may include an electrode positioning block coupled to the linear body section of the electrode. The electrode positioning block may position the tip section of the electrode at a desired orientation relative to a component receiving the tip section to form a curved hole in the component.