Single Carrier-Frequency Domain Equalization(SC-FDE) has been widely considered as an attractive technology for uplink broadband wireless transmissions because of its advantage of low peak-to- average power ratio. Based on a statistical model for channel estimation, the robust SC-FDE design with imperfect channel knowledge at receivers due to channel estimation errors is studied. The optimal equalization coefficients are derived under the criterion of minimizing the Mean Square Error(MSE) conditioned on a given channel estimate. Simulation results show that the robust FDE scheme achieves significant improvement over the conventional non-robust FDE scheme.