The all-optical polarization switch adopting InGaAsP Bragg-spaced quantum wells (BSQWs) is investigated theoretically because it can be compatible with the optical communication system. The theoretical analysis is based on the transfer matrix approach which provides formalism for studying the optical response of the InGaAsP BSQWs. With this theoretical model we calculate the performance characteristics of the switch, which has a high contrast ratio (~31.1dB), a small insert loss (~13dB), and a small switching energy (~30 M W / cm(2) ). The theory can be used as a basis of experimental research of all-optical spin-dependent polarization switching in BSQWs.