The past decades witness a tremendous exchange in data and information in almost all domains. This leads to the need for applying data security to ensure information safety during communication. One of the main used technique is the steganography. Steganography is a technique that involves hiding information within objects, such as images, audio, video, and 3D objects, without leaving any noticeable alterations. We propose a 3D steganographic technique that increases security using Gray code sequence and a Least Significant Bit (LSB) technique. We construct the 64-binary representation for the 3D cover-object. A Gray code sequence is utilized to define the vertices that will be utilized for embedding the secret message. The binary representation of the secret message is to be hidden in the least significant bits of either the x-or the y-coordinates of the defined vertices. The least significant bits, are the last two bits in the binary representation of the vertex coordinates. Exploitation the binary representation, gives us the capability of increasing the data security, and the data capacity. The proposed steganographic technique has been evaluated through multiple evaluation metrics to assess its performance; including Mean Square Error Ratio (MSE), Peak Signal-to-Noise Ratio (PSNR), and Normalized Correlation (NC). Experimental results, show that the security level of the proposed technique is superior comparing to several existed techniques. Moreover, when testing against some common attacks such as the noise, the median, the Gaussian and the Laplacian filters; the results show the efficiency and the robustness of the proposed technique.