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In an all optical networks we made a study on two important variants of TCP like TCP-Reno and TCP-Vegas. In an OBS network the bursts are aggregated at the edge nodes and they travel cutting through all optical network. A data burst is preceded by a control packet with an offset time. There is an amount of hop-delay for the data burst between the core nodes in the OBS network. There is also a limit on the number of packets for each burst which we call as burst size. At the ingress node burstification takes place and packets are assembled into bursts which forms a maximum flow queue. In our simulation we have taken the hop delay, maximum flow queue and burst size as parameters and analyzed the performance of TCP-Reno and TCP-Vegas using NS-2 simulator.