We introduce non-aqueous continuous-flow electrophoresis (NACFE) in which the electrolyte is a solution of an organic salt in an aprotic organic solvent. NACFE can maintain steady-state separation of multiple hydrophobic organic species into individual molecular streams. It is a potential separation complement for continuous-flow organic synthesis. This proof-of-concept work will serve as a justification for efforts towards making NACFE a practical tool in flow chemistry.