We propose a unit cell consisting of Minkowski fractal with double stubs to attain a broad phase range for the reflectarray antenna. In this study, single stub for Minkowski fractal and double stubs with orthogonal symmetry are simulated using HFSS (TM) program with Floquet Port incidence. It is observed that the single stub causes higher cross polarization level compared to the double orthogonal stubs. Simulation results are supported by the experimental data obtained from the measurements using waveguide setup. As a result, a broad phase response, better reflection loss, and 10.9% shrinkage in patch size are obtained using double stubs with orthogonal symmetry. Subsequently, the proposed unit cell is used to design and fabricate a full-scale 221 element reflectarray antenna, which may be used, particularly, in aeronautical and space applications. At 10 GHz, simulation results are compared with the measured data, and good agreement is observed.