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The clutter affects the detection of targets. The traditional MTD filter based on FFT can cancel the fixed ground clutter with a narrow frequency spectrum. During the spectrum broadened and moving clutter existed, the traditional approach of clutter cancellation does not work efficiently. The advantages of optimal designed MTD filter based on FIR are: a) The clutter with broadening spectrum can be cancelled by adjusting the notch width of MTD filter; b) The moving clutter can be cancelled by designing filters with multi-notches aimed at the clutter Doppler frequencies; c) Ensuring the echo of target has a large power value with broad frequency range at the outputs.