Various forms of the diallel crosses play an important role in evaluating the breeding potentialrnof genetic material in plant and animal breeding. In this paper we give the simple method ofrnconstruction of partial diallel cross design through partially balanced incomplete block design asrnauxiliary design with the method of analysis and also see the importance of partial diallel crossrndesign through partially balanced incomplete block design when large number of inbred linernexist in plant and animal breeding experiment. We compare the efficiencies of our proposedrndesigns with other existing designs for partial diallel cross in the literature and found thatrnseveral our designs have higher A- and D-efficiency in comparison to the existing designs.rnKey words: A-efficiency, D-efficiency, MS-optimality, Ortogonality, Partial Diallel Dross,rnComplete Diallel Cross, General Combining Ability, Specific Combining Ability