The Digital Watermarking can be used to hide an image over a cover image and also for copyright protection. In particular, digital image watermarking algorithms based on DCT and DWT are most preferable than others. In this paper a hybrid watermarking technique has been introduced which combines DCT and DWT to produce the watermarked image. The proposed method allows us to get visible as well as the invisible watermarked image by changing the value of the scaling factor. Here in this paper, the perceptibility is measured using statistical parameters such as PSNR and MSE on different values of the scaling factor. Also, the effectiveness of this technique is measured for different types of attacks on the basis of BCR.