Based on the geostatistic approach, different realizations of the samedescriptions can be generated, hence, an overall behavior of thefracture-matrix system have to be investigated from many realizationswhich means high computational demand. Due to this, the streamlinemethod is an attractive alternative to overcome the computational cost.The streamline approach for solute transport in a fracture-matrix systemwill presented and the results will be discussed and compared with theresults obtained from solving a mass conservative transport equation.