The algorithm of the Hybrid Finite Analytic Method (HFAM) was used to simulate fully developed trubulent flows in non-circular ducts and open channels. And the turbulent flow fields in a square duct and a rectangular open channels were calculated by Naot and Rodi’s model, and that in a compound channel was calculated by Speaizle’s non-linear eddy-viscosity model with this algorithm. The results show that the HFAM is suitable for calculating these complicated turbulent flows.