We present very deep RIc photometry of the M35 open cluster. We have covered 30 times 30, equivalent to about a fourth of the total area of the cluster. The data range from I_c=17.5 to 23.5 magnitudes, and the color interval is $0.5 le (R-I)_c le 2.5$. Roughly, these values correspond from $0.6 M_odot$ to $0.1 M_odot$ in the cases of members of the cluster. By using the location of the stars on a Color-Magnitude Diagram, we have selected possible members of this cluster and obtained the Luminosity and Mass Functions of the M35 open cluster and compared them with those from the Pleiades.