Protect the digital media and provide the copyright is a very important process to confirm their owners, digital watermarking play a vital role which is used to check the copyright contravention. In this paper, a new mixing watermarking algorithm is proposed by using discrete multiwavelet transform and curvelet transform on SAR images. The results showed that the proposed algorithm offers good performance in both subjective and objective tests. When the PSNR values equal to (19.1446, 20.7941, 19.4537 and 19.8802), they were increased in the proposed method to (22.8046, 23.7941, 22.5031 and 22.9106) respectively.