Euler's Method is a numerical technique used to approximate solutions to ordinary differential equations. It works by taking an initial point on the curve and using the slope of the function at that point to estimate the next point. This process is repeated in small steps, allowing for the construction of a series of points that approximate the solution. The method is straightforward and easy to implement, making it a popular choice for simple problems. However, its accuracy depends on the size of the steps taken; smaller steps yield better approximations but require more calculations.