Digital watermarking has been proposed for copyright protection of digital data. According to the property of an embedded watermark, it is classified into two categories, robust watermarking and fragile watermarking. The former is used for copyright protection, and the laster applies to the authentication/integrity to verify the authenticity of data, If an Image has been modified or forged. the embedded watermark cannot be extracted from the Image. As a results, it is possible to defect the modification of the image. As pixels are represented by tilts, the modification of bits corresponds to the alteration of the image. In this paper, a new fragile watermarking is proposed In which two watermarks are embedded in order to detect some modification occurred In high and low bit Planes. From simulation results, the embedded watermark is Invisible in a watermarked image and we can locale some Places where the modification occurring