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Abstract In this paper, we carry out a detailed study on the production of the doubly charmed baryon in deeply inelastic ep scattering (DIS) for Q 2 ∈ [2, 100] GeV2, at the Large Hadron Electron Collider (LHeC) with E e = 60(140) GeV and E p = 7000 GeV. To exclude the contributions from the diffractive productions and the b hadron decays, we impose the kinematic cuts 0.3 < z < 0.9, and p t , baryon ⋆ 2 $$ {p}_{t,\mathrm{baryon}}^{\star 2} $$ > 1 GeV2 in the center-of-mass (CM) frame of γ ∗ p. Based on the designed LHeC luminosity, by detecting the decay channel Ξ cc + Ξ cc + + → Λ c + $$ {\Xi}_{cc}^{+}\left({\Xi}_{cc}^{++}\right)\to {\Lambda}_c^{+} $$ with the subsequent decay Λ c + → pK − π + $$ {\Lambda}_c^{+}\to {pK}^{-}{\pi}^{+} $$ , we predict that about 1880 (2700) Ξ cc + $$ {\Xi}_{cc}^{+} $$ events and 3750 (5400) Ξ cc + + $$ {\Xi}_{cc}^{++} $$ events can be accumulated per year, which signifies the prospect of observing them via the DIS at the forthcoming LHeC. In addition, we also predict the distributions of a rich variety of physical observables in the laboratory frame and the γ∗p CM frame, including Q2, p t 2 $$ {p}_t^2 $$ , Y (rapidity), p t ⋆ 2 , Y ⋆ $$ {p}_t^{\star 2},{Y}^{\star } $$ , W, and z distributions, respectively, which can provide helpful references for studying the doubly charmed baryon. In conclusion, we think that in addition to the LHC, the LHeC is also a helpful platform for studying the properties of the doubly charmed baryon.