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This paper describes English to Tamil statistical machine translation and its alignment using Hidden Markov Model (HMM).Statistical machine translation is a part of natural language processing and is based on probability distribution. Machine translation is a sub-field of computational linguistics that uses computer software to translate text in one natural language to another language. Alignment is one of the major challenges in machine translation .Hidden markov model (HMM) based alignment described in this paper is more accurate, avoids invalid alignments and improves translation quality. HMM uses bigram translation probabilities for keeping word context in the language model which produce close to error-free output that reads fluently in the target language.