This work is concerned with the investigation of the free vibration and stability behavior of the buried composite material pipes. Soil is modeled mathematically as a one and two parameters foundation, (Winkler and Pasternak respectively). Composite material is treated as generally orthotropic material and the flow is a fully turbulent flow. A mathematical model based on Timoshenko beam theory is formulated. A finite element model has been implemented to investigate the problem. Mat lab package has been used to construct a program for vibration and stability analysis of the system. The obtained results have been compared with the published ones to verify the model. A comparison between buried composite material pipes and traditional ones is presented. The results show that the soil modeling, internal pressure and depth of the soil have an essential effect on the behavior of such pipes.