We optimize geometries of various self‐similar transport networks using a three‐step strategy based on the entransy theory. Using this optimization method, we obtained optimal relationships of geometric parameters of T‐shape networks for fluid flow, heat conduction, convective heat transfer, and other transport phenomena. Some optimization results agree well with the existing theories or experimental data. The optimized transport network structure depends strongly on the optimization objective and the constraints, so that both the maximum heat transfer effect and minimum flow resistance cannot be satisfied at the same time.