This paper presents a phase-delay spectrum model to describe the spatial coherence of stochastic wind field,which can be used in large-scale stochastic wind field simulation.Coherence function is usually adopted to describe the spatial coherence in classic theory.It is found that coherence function is only second-order numerical characteristics and is far from describing the abundant probabilistic information of coherence of fluctuating wind speed.This study shows that Fourier phase-delay spectrum can give a comprehensive description of the coherence of fluctuating wind speed.Based on the analysis of primary factors affecting phase-delay,a basic model of phase-delay spectrum is presented.By a comparison with the measured phase-delay spectrum,the rationality and applicability of the model are verified.Finally,wind field simulation with this model obtains a good effect.