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This question already has an answer here:

Why is heat liberated in such reaction. Isn't it just a simple rearrangement of ions? Hydrogen ion joining hydroxyl ion.

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marked as duplicate by airhuff, Klaus-Dieter Warzecha, Ben Norris, Zhe, ron Apr 2 '17 at 14:42

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You are right in that the reaction is $\mathrm{H}^+ + \mathrm{OH}^- \rightarrow \mathrm{H_2O}$, but recognise that bonds are formed in this reaction. Bond formation releases energy (and similarly bond breakage is endothermic), and thus neutralisation reactions are exothermic.

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