Numerical and analytical results are presented for the magnetic ordering in a bond-diluted spin-l/2 and spin-1 mixed transverse Ising system with a single-ion anisotropy on a honeycomb lattice. Special emphasis is placed on the magnetic ordering under the bond dilution and percolation threshold. We discuss in detail the influence of transverse fields of different sublattices on the normal magnetic ordering and on the magnetic ordering induced by single-ion anisotropy. We find that the magnetic ordering of a system exhibits an explicit difference when receiving the transverse field. This phenomenon has not been revealed in previous reports.