In this talk,I will give an overview of existing multiscale domain decomposition methods for elliptic problems with high-contrast coefficients,which can make the condition number of the preconditioned system independent of the contrast.These methods use multiscale techniques to construct the coarse spaces,and also the power of domain decomposition iterations.Their theoretical analysis is based on the theory of domain decomposition methods.Besides,I will present some preliminary results of the joint work with Petter Bjorstad and Talal Rahman on this respect.