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Wireless sensor network is the technology of future due to its potential to be applied in all kind of monitoring, automation and management applications. In wireless sensor networks localization has become very important because for any application which need information from a specific region of WSN deployment we need location information of the individual nodes. Localization may also help network layer routing protocols. With the knowledge of location directional packet forwarding can be used which will reduce network load. Wireless sensor network is a large scale energy constrained network, so it is necessary to design localization algorithm which consume less power. Here we have developed an algorithm which uses directional antenna in each sensor node and try to locate each node with some error probability.