Studies of Open Charm and Charmonium Production at LHCb

We present recent results from charmonium and open charm production at the LHCb experiment at CERN, Geneva. We concentrate on studies for the measurement of the cross section $pp \rightarrow J/\psi X$ in its decay channel with two muons, showing the agreement of the simulation with the data in few key distributions. We also show the reconstructed modes of $D^0 \rightarrow K^{-} \pi^{+}, D^0 \rightarrow K^{-} \pi^{+} \pi^{0}, \lambda^{+}_{c} \rightarrow pK^{-}\pi^{+}$ and $D^{+} \rightarrow K^{0}_{s} \pi^{+}$ and their prospects.