A new encryption images method using The Discrete Fractional Fourier Transform (DFrFT) and the Jigsaw transform is proposed. The main feature of this encryption scheme is that the encrypted image is real and has the same size as the original image, being this image encrypted much more convenient for storage or transmission in digital communication networks. Using the Jigsaw transform increases the security of the encrypted image and eliminates the random phases masks used in many images cryptosystems based on Fractional Fourier Transform (FrFT). Finally, for the proposed new encryption method was developed a fingerprint encryption algorithm digital. In the cryptographic algorithm implemented twelve keys are used, constituted by six fractional orders DFrFTs and six random permutations used in Jigsaw transform, all these keys are necessary for a correct decryption, obtaining a high level security in protecting fingerprints for a particular application.