Solvent extraction through a countercurrently cross-flow multipass membrane module has been investigated both theoretically and experimentally. Considerable improvement of mass-transfer rate in a parallel-plate module of fixed dimensions is obtained if multipass, instead of single pass, are arranged in the phase (retentate phase or extract phase) where the mass transfer is dominated by its external film and not by the membrane resistance. Further, the performance in a countercurrently cross-flow device introduced in present study overcomes that in a cocurrently cross-flow one which we discussed in previous works.