The growing demand of securing the online trade and digital content bought the digital watermarking as major tools for protecting copyright, preventing unauthorized distribution, track back the source, confirming the ownership, authentication and many more. This paper proposes a new algorithm which shows better resistance against some common attacks. The SVD-DWT technique is applied here for deconstructing and reconstructing the image. The secret watermark is embedded into the R band using a secret key after separating the host image into three respective bands namely R, G and B. The extracting process is performed by splitting the watermarked image into all the color channels and then applying further process into R plane. The experimental result shown in tabular form indicates the better robustness of the proposed algorithm against various attacks on image.