The present invention is directed to distillation systems and methods. The still may have an impermeable nonporous membrane that may be extruded, molded, vacuum formed or sprayed-on. The membrane may be installed in a lightweight basin as a liner. The distillation system may also include a unique sealing system that may include a gasket with a cross-section shaped like the lowercase letter “e” and may include a trim piece that hold a basin casing and casing cover together. The distillation system may be designed in such a manner so as to make shipping and assembly easy and cost effective. For example, the distillation system may be constructed as a kit that all needed components and all the components are placed inside of a standard dimension box for shipping. In various embodiments, the distillation system may be a solar distillation system.