Using the H1 detector at HERA, charged particle multiplicity distributions in deep inelastic ep scattering have been measured over a large kinematical region. The evolution with W and Q2 of the multiplicity distribution and of the multiplicity moments in pseudorapidity domains of varying size is studied in the current fragmentation region of the hadronic centre-of-mass frame. Data on multiplicity as well as the various moments of the distribution are given in a variety of psuedorapidity regions. The moments are the generalised dispersions (D), the factorial moments (R), the Muller moments (K) and the C factors (C).