In this research article, we propose an encryption and decryption scheme for the standard image database available online and in extended to an hybrid model of DNA computing and chaotic system. The significant distinctive of the proposed cryptographic methodology is secure and efficient. In the DNA level of permutation, mapping function orientation with the logistic mapping is applied to DNA image with random position of element in DNA image In a DNA level of basic operation of cryptography with addition of two level of additional bits For the basic image of consideration. The experimental results are carried out in MATLAB environment for a secure analysis The image encryption technique is basically an improvisation of the different levels of application of digital image processing with consideration of fixed resolution as 512 x 512. The entire process of DNA based chaotic cryptography intended with encryption process of generation of cypher text with symmetric key. The encryption and the decryption time is calculated and estimated. The recovery of the image is also analysed with the histogram braced analysis, The parameters that reflect the quality of encryption are calculated like NPCR and UACI.