This note describes the details of a simulation study of the Higgs boson production for processes in which the Higgs is produced together with a well measurable di-lepton system using the current proposal of the ILD detector. The analysis is optimised for the measurement of the Higgs-strahlung process, i.e. e+e− → HZ. The cross section can be determined with a precision of 2-3% and by combining the decay channels a precision of ∼30 MeV is obtained for the mass of the Higgs boson. The background can be largely reduced and the analysis exhibits a sensitivity to the configuration of the accelerator.