This document proposes a digital watermarking method using SVD that aims to avoid false positive detection vulnerability. The method embeds a watermark into the host image by inserting a secret key D into the Uw, Sw, and Vw matrices of the watermark using a sharing secret principle. During extraction, the secret key is recovered from the watermarked image and used to authenticate the original watermark. Experimental results show the watermark is robust against various attacks like cropping, noise, and resizing, with the extracted secret key accurately matching the original key. The method provides improved protection of watermarks compared to other SVD-based approaches.