In the experiments of agriculture it is assumed that treatments are independent to each other, which is not true in all cases. In some situations treatments are affected by their neighbours, special concern arises when treatment effect is small and the neighbour effect is high or the response variable itself may make neighbour effects. An alternative for it is to have border plots on both ends of every block. The reason for border block is that the response on one plot may be affected by the treatments on neighbouring plot as well as by the treatment applied to that plot itself. A neighbour design is said to be non-directional if the influence of left and right neighbouring plots in rows and influence of upward and downward neighbouring plots in columns are equal otherwise the design will be considered directional. This paper concerns to construct two directional/dimensional neighbour designs which may be balanced or partially balanced.