Open charm production in $\gamma \gamma$ collisions is studied with
data collected at $\rm{e^+ e^-}$ centre-of-mass energies from
189 GeV to 202 GeV corresponding to a total
integrated luminosity of 410 pb$^{-1}$.
The charm cross section   
$\sigma (\gamma\gamma \rightarrow \rm{c \bar{c} X}$) is measured 
for the first time
as a function of the two-photon centre-of-mass energy in the 
interval from 5~GeV to 70~GeV
and is compared to NLO QCD calculations.