In recent years the scalar flat asymptotically locally Euclidean (ALE) Kahler manifolds attracted a lot of attention, and many examples were constructed. However, their classification is not understood, except for the case of ALE Ricci flat Kahler surfaces. In this talk, I will present a first step in this direction: the underlying complex structure of ALE Kahler manifolds is exposed to be a resolution of a deformation of an isolated quotient singularity. The talk is based on a joint work with Hans-Joachim Hein and Ioana Suvaina.