Bound states of two baryons with one or two charm quarks, such as Λ c N and Λ c Λ c , are considered in the meson exchange potential model. Effective Lagrangian for light mesons and charmed baryons is constructed with chiral symmetry, heavy quark symmetry and hidden local symmetry. The π, ρ, ω, and the σ (a scalar meson for the correlated two-pion exchange) mesons are the main components. In particular, we point out that the tensor force due to the pion exchange, which induces the coupling of Λ c with Σ c and Σ * c baryons, plays important roles for the binding of the two baryons. We find that both the Λ c N system with spin 0 and 1 and also the Λ c Λ c system with spin 0 will have a bound state. All the bound states have significant mixings of Σ * Speaker.