The inclusive production of D*+is measured by DELPHI in photon‐photon collisions at LEP‐II energies. The measured cross sections are compatible with the QCD calculations having the contributions from the resolved processes sensitive to the gluon density in photon. The total cross section of the charm quark production in two‐photon collisions at LEP‐II energies is estimated. © 2002 American Institute of Physics