Abstract: The reserving space of carbonate reservoirs in Lungu oilfield is mainly of caves,holes,cracks pore-cave types and has the characteristics of irregular form and non-uniform distribution,which brings great difficulties for reservoir prediction.As conventional inversion method failed to make a good description on distribution characteristics of reservoirs,the geo-statistical inversion method based on Markov chain-Monte carlo algorithm has been adopted to make the carbonate reservoir prediction.By use of the geostatistical inversion method,the change characteristics of the carbonate fractured-vuggy system has been reasonably described and the geological problem of carbonate heterogeneity reservoir prediction has been solved.