The reaction $\rm{e}^{+} \rm{e}^{-} \rightarrow \rm{e}^{+} \rm{e}^{-} \gamma ^{*} \gamma ^{*} \rightarrow \rm{e}^{+} \rm{e}^{-} $ {\sl hadrons} for quasi-real photons is studied using data from $ \sqrt {s} = 183$ GeV up to 202 GeV. Results on the total cross sections $\sigma(\rm{e}^{+} \rm{e}^{-} \rightarrow \rm{e}^{+} \rm{e}^{-} $ {\sl hadrons}) and $\sigma (\gamma\gamma \rightarrow $ {\sl hadrons}) are given for the two-photon centre-of-mass energies 5 GeV $\leq W_{\gamma\gamma} \leq$ 185 GeV. The total cross section of two real photons is described by a Regge parametrisation. We observe a steeper rise with the two-photon centre-of-mass energy as compared to the hadron-hadron and the photon-proton cross sections. The data are also compared to the expectations of different theoretical models.