The Direct-Quadrature Method of Moment (DQMOM) based PDF transport approach has been adopted to simulate turbulent lifted nitrogen-diluted hydrogen jet flame with vitiated coflow. In this study, the joint composition PDF is approximated using the multi-environment PDF consisting of the combination of weights and abscissas on composition and physical space. The micro mixing is represented by the IEM model. To numerically simulate the auto-ignition process and conditional fluctuations on composition space, all composition vector including species mass fraction and enthalpy are directly integrated with DVODE solver. In terms of the lift-off height, mean and rms of temperature, species mass fractions, and probability density function, the predicted profiles are reasonably well agreed with experimental data. Numerical results clearly indicate that the present DQMOM based PDF transport model has the capability to predict the autoignition, flame lift-off and stabilization process in the turbulent H-2/N-2 lifted jet flame. Copyright (c) 2012, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.