While the topology design of isotropic continuum is a well-developed topic in structural optimization, relatively little effort has been made for anisotropic materials, and even less on combined design of fiber orientation and topology of fiber-reinforced composites.This paper presents a study on the model and solution algorithm for determining optimum composite topology and fiber path.Conventional topology optimization techniques are extended to this combined optimization problem.A 4-noded hybrid stress element is presented first, which can be used for the analysis of 2D composite with variable material density and fiber orientation.The distributions of material density and fiber orientation within each element are expressed in terms of values at element nodes using the bilinear shape functions, based on which elasticity matrix at each point can be formed according to the conventional material model.Then, a new optimization problem formulation for combined topology structure and fiber path is proposed.The variations of both matrix material distribution and fiber orientation are determined to achieve the desired performance.Node design variables are used in the formulation, including variable for the topology design and fiber orientations at the nodal points.Total volumes of the fiber and the matrix material used can be considered as either the objective or a constraint function.The compliance of the composite under static loads is taken as the objective function in this study.Explicit expressions for the sensitivities of all the constraint and objective functions can be derived.An optimization algorithm is presented for the solution.The method of moving asymptotes (MMA) is employed at the optimizer.Numerical studies are conducted to evaluate the validity of the optimization model and effectiveness of the algorithm.It is shown that structures with clear topologies and reasonable fiber paths can be obtained.Finally, concluding remarks are made and further research work discussed.