3D objects have come to play an essential role in industry. They can also be very large, sometimes containing millions of vertices, and therefore it is vital that they are compressed, particularly when it comes to uploading them to the web and during real time rendering. The Draco 3D object compression system, proposed by Google, is becoming an industry standard for the compression of 3D objects structured as geometric meshes or point clouds. These 3D objects are important assets which also need to be secured. In this paper, we propose the first 3D object crypto-compression method, which integrates an encryption step into Google's Draco compression scheme, by adding an AES encryption step during Draco's entropy encoding step. Our proposed Draco 3D object crypto-compression scheme is format compliant, has no size expansion and does not require additional information such as an auxiliary file. After the entire decoding process (joint decryption and decompression), the reconstructed 3D object obtained is identical to the one after a standard compression by Draco. Experimental results on real 3D objects and a security analysis show our proposed method is efficient.