Multi-Processor System on Chip (MPSoC) consisting of multiple processing cores connected via a Network on Chip (NoC) has gained prominence over the last decade. Most common way of mapping applications to MPSoCs is by dividing the application into small tasks and representing them in the form of a task graph where the edges connecting the tasks represent the inter task communication. Task scheduling involves mapping task to processor cores so as to meet a specified deadline for the application/task graph. With increase in system complexity and application parallelism, task communication times are tending towards task execution times. Hence the NoC which forms the communication backbone for the cores plays a critical role in meeting the deadlines. In this thesis we present an approach to synthesize a minimal network connecting a set of cores in a MPSoC in the presence of deadlines. Given a task graph and a corresponding task to processor schedule, we have developed a partitioning methodology to generate an efficient interconnection network for the cores. We adopt a 2-phase design flow where we synthesize the network in first phase and in second phase we perform statistical analysis of the network thus generated. We compare our model with a simulated annealing based scheme, a static graph based greedy scheme and the standard mesh topology. The proposed solution offers significant area and performance benefits over the alternate solutions compared in this work.