[en] In the framework of the topcolor-assisted technicolor (TC2) model we investigate the flavor-changing neutral-current production pp→t(c-bar)h_t⁰ at the Large Hadron Collider (LHC), which proceeds through the parton-level processes gg→t(c-bar)h_t⁰, uu-bar→t(c-bar)h_t⁰ and dd-bar→t(c-bar)h_t⁰. We calculate the production rate and present the distributions of the transverse momenta and the invariant mass of the neutral top-Higgs. It is found that the cross section of pp→t(c-bar)h_t⁰ can reach a few hundreds of fb in a large part of the allowed parameter space. Considering the main decay mode of top-Higgs for m_ht<2m_t, we find that such a production may provide copious events. In the case of unobservation, the LHC can set meaningful constraints on the TC2 model. (authors)