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Clutter suppression for airborne non-sidelooking radar is a challenging problem due to the range-dependent clutter. In this study, an algorithm combining elevation robust Capon beamforming (ERCB) and two-dimensional azimuth-Doppler space-time adaptive processing (STAP) is presented to realise clutter suppression for airborne non-sidelooking radar. The presented algorithm can place range-dependent nulls to eliminate the range-dependent clutter and the residual range-independent clutter can be suppressed by two-dimensional azimuth-Doppler STAP methods. Numerical examples are given to demonstrate the effectiveness of the presented algorithm.