IntroductionThe present chapter introduces a specifi c type of membrane reactor only briefl y mentioned in Chapter 1 . The solid electrolyte membrane reactor s ( SEMR ) -or electrochemical membrane reactors as they also are called -are equipped with ion -conducting membranes, which ideally are impermeable for non -charged reaction species. These reactors operate as electrochemical cells, in which the oxidation and reduction reactions are carried out separately on catalyst/electrodes layers located on the opposite sides of the electrolyte. The development of solid electrolyte membrane reactors has reached a semi -commercial stage in fuel cells, in which the maximal generation of electric energy by the total oxidation of hydrogen or hydrocarbon feeds is the primary goal of operation. Research on chemical reactor applications is strongly concentrated in the high -temperature range using either oxygen ion -or proton -conducting inorganic membranes. Some interesting examples were published recently, investigating proton -conducting polymeric membranes for the production of chemicals.This chapter gives a brief overview on the current status and future trends in the development and application of solid electrolyte reactors equipped with solid electrolyte ( SE ) materials used as membranes in these reactors. Initially the working principle of a solid electrolyte membrane reactor and material aspects are discussed. The second part of the chapter gives a detailed description of the special aspects concerning the modeling of solid electrolyte membrane reactors, as well as the application examples of maleic anhydride ( MA ) synthesis and oxidative dehydrogenation of ethane. Finally the chapter reviews recent papers concerning solid electrolyte membrane reactors applying:• high -temperature oxygen ion conductors, • high -temperature proton conductors, • low -temperature proton conductors.There are some recent review papers, especially written for high -temperature applications, which we would like to recommend to readers interested in more