In this paper, we study the production of the doubly charged leptons at the future ep collider large hadron electron collider (LHeC). Such states are introduced in extended weak isospin multiplets by composite models. We calculate the single production cross sections of the doubly charged leptons, and carry out a fast simulation for the signals and the corresponding backgrounds. We plot the 3σ and 5σ statistical significance exclusion curves in the parameter space (Λ, ML) and (). Our analysis shows that the possible signatures of the doubly charged leptons might be detected in the future LHeC, the leptonic channel has advantage in detecting the doubly charged lepton signals compared to the hadronic channel.