Cellular Automata with Random Memory (CARM) is a new Cellular Automata model which has been recently inroduced. In this model, instead of memories, delay lines are used. Therefore, how much previous times to be considered is a random process. Implementation of CARM model is not required any special hardware since delay in discrete time systems can be easily generated from a random delay characteristics of wires and transistors in programmable logic devices. In this paper, a network of locally coupled CARM model has been studied. Each CARM model is thought to be a random number generator and here we will present that these generators can synchronise with local coupling keeping random behaviour of each cells in the network.