A process for separating a homogeneous metathesis catalyst and, optionally, one or more homogeneous metathesis catalyst degradation products from a metathesis reaction mixture containing in addition to said metathesis catalyst and said metathesis catalyst degradation product(s), one or more olefin metathesis products, one or more unconverted reactant olefins, and optionally, a solvent. The process involves contacting the metathesis reaction mixture with a nanofiltration membrane, such as a polyimide nanofiltration membrane, so as to recover a permeate containing a substantial portion of the olefin reaction products, the unconverted reactant olefins, and optional solvent, and a retentate containing the metathesis catalyst, and optionally, metathesis catalyst degradation product(s). In another aspect, this invention pertains to a continuous metathesis reaction-catalyst separation process, preferably, conducted in a nanofiltration membrane reactor.
 This invention was made with United States Government support under Award Number DE-FC36-01ID14213 (formerly Award Number DE-FC07-01ID14213) funded by the Department of Energy. The United States Government has certain rights in this invention.