Based on the non-relativistic quantum chromodynamics factorization framework, we study the inclusive J/ψ photoproduction at the future high energy e + e − collider, International Linear Collider(ILC), where the initial photons come from the back-scattering of laser and electron (positron). The intermediate states, $c\overline{c}$ $$c\overline{c}$$ (3 $S_1^{\left(1\right)}$ $${S}_1^{\left[\mathbf{1}\right]}$$ ,1 $S_0^{\left(8\right)}$ $${S}_0^{\left[\mathbf{8}\right]}$$ ,3 $S_1^{\left(8\right)}$ $${S}_1^{\left[\mathbf{8}\right]}$$ , 3 $P_{0,1,2}^{\left(8\right)}$ $${P}_{0,1,2}^{\left[\mathbf{8}\right]}$$ ), and resolved photoproduction processes are considered. Numerical results show that the cross section of J/ψ photoproduction at the ILC could be very large, and the single resolved pro- cess via $c\overline{c}$ $$c\overline{c}$$ (3 $S_0^{\left(8\right)}$ $${S}_0^{\left[\mathbf{8}\right]}$$ ) intermediate state dominates primarily the production. We also present various kinematic distributions for J/ψ photoproduction. Combining the high luminosity of the collision, J/ψ photoproduction at the ILC shall provide a good platform to test the NRQCD factorization.