A new three-dimensional diffraction tomography,based on intensity correlation imaging,is demonstrated. Intensity correlated imaging (ghost imaging),which can realize the lensless Fourier-transform,the diffraction tomography and the two-step phase-retrieval algorithm are combined together to realize intensity correlated three dimensional diffraction tomography by using 650 nm pseudo-thermal light. The theoretical basis of this technique is outlined,and the experimental results are presented. This paper is a preparation for the applications of incoherent X-ray intensity correlated three-dimensional diffraction tomography in the third generation X-ray synchrotron radiation source.