This paper proposes a new C-shaped scrambling method and combines it with the Logistic-Dynamics Coupled Map Lattices (LDCML) and DNA coding, thus designing a new image encryption scheme. First, we use the chaotic sequence generated by the LDCML system to perform preliminary scrambling on the original image. Then convert it into a DNA matrix according to a coding rule. After that perform the second scrambling according to the “C” shape. Next, the scrambled DNA matrix is subjected to a diffusion operation using the corresponding DNA sequence of the chaotic sequence generated by the LDCML system and the addition, subtraction and XOR rules of the DNA. At last, the final encrypted image is obtained by performing a DNA decoding operation on the diffused DNA matrix. Simulation experiments and security analysis show that the algorithm is safe and can resist common attack methods.