Since Hewlett-Packard realized memristor, memristor based network has received significant amount of attention. A network which consist of memristor might help to obtain a better model of the activity of biological systems. In this work, three-dimensional network of locally coupled oscillators which is based on memristor is studied. In order to obtain large-size 3-D network, graphics processing unit (GPU) is used for simulations. Propagation of autowaves on the 3D network has been experimentally obtained. Programing the initial condition the source of autowave can be located any place in the network. Furthermore, propagation of autowaves on inhomogeneous network is presented.