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This paper has brought forth a zero-watermark algorithm for video which is based on the Krawtchouk Moment Invariants of original images to counterattack RST attack. Due to the stability of the seven lower Krawtchouk Moment Invariants exhibited in geometrical transformation, the seven moment invariants of the video frames should be calculated first and then construct the watermark sequence with zero-watermarking technology. Throughout this algorithm, no watermarking information is embedded in the images and thus a good imperceptibility can be achieved. During the process of detection, no original video sequence is needed. The experimental results demonstrate that the algorithm is robust against RST attack, cropping attack and other conventional attacks.