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I am getting negative cosine similarity value between two documents in Latent Semantic analysis. How should it be treated?

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After applying LSA the cosine similarity should yield values between -1 and 1. Why exactly is this a problem for you?

See this answer for a good explanation regarding your question.

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Cosine similarities could be negative for sure. If you're trying to interpret this (not that you think it's problematic to have negative values), then I think it means these two documents are talking about opposite things.

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    $\begingroup$ what do you mean by "talking about opposite things"? $\endgroup$ – sandyp Jul 5 '18 at 16:45

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