  We present the analytical and numerical investigations of top-charm
associated production at the LHC in the framework of the R-parity violating
MSSM. The numerical analysis of their production rates is carried out in the
mSUGRA scenario with some typical parameter sets. The results show that the
cross sections of associated $t\bar{c}(\bar{t}c)$ production via gluon-gluon
fusion can reach 5% of that via $d\bar{d}$ annihilation. The total cross
section will reach the order of $10 \sim 10^2 ~fb$ and the cross sections are
strongly related to the R-parity violating parameters.
