There have been limited research studies on encryption algorithms specifically designed for certain encryption scenarios. Aiming at different types of face images, this paper presents a multiple face images encryption algorithm based on a new non-adjacent coupled mapping lattice with dynamic parameter (NCMLP). NCMLP has a more comprehensive parameter range, better chaos, and more complex dynamic behavior Compared to classical non-adjacent coupled lattice mapping, which is suitable for encryption. The encryption algorithm firstly uses face detection technology to extract multiple face information and to generate a double-layer key, then scrambles the face information by three-dimensional bit-level cyclic shift, and finally encrypts the global information using 3D pixel level scrambling and 3D double index diffusion. It is worth mentioning that the algorithm has high security and can be applied to ordinary images. The experimental results and safety analysis show that the information entropy can exceed 7.9992, the histogram variance can be less than 1072, the pixel number change rate can reach 99.6323%, and the unified average change intensity can reach 33.5495%, all of which are very close to the ideal values.