In the 1760s, Lagrange raised the question of finding an area minimizing spanning surface for a given closed curve in Euclidean space. There were several results in various special cases but it was only in the 1930s, a general solution was found by Jesse Douglas and Tibor Rado(Independently). In this expository talk, we present the proof of the Douglas- Rado Plateau problem. Here we will be dealing with piecewise continuously differentiable Jordan closed curves and we will show that there is always an area minimizing spanning surface which is parametrized by the closed unit disc in the plane.