This document reviews advances in membrane distillation for water desalination and purification. It discusses the four main configurations of membrane distillation - direct contact, air gap, vacuum, and sweep gas membrane distillation. Direct contact has the highest flux but lowest energy efficiency, while air gap has the highest energy efficiency but lowest flux. The document also discusses tubular and plate-and-frame membrane module designs. Finally, it outlines the key membrane materials used - hollow fiber membranes made from PP, PVDF, and PVDF-PTFE and flat sheet membranes made from PP, PTFE, and PVDF.