Enthalpy changes of neutralization are always positive.

The given statement is False.

When heat is released in a chemical reaction, then enthalpy changes are negative. When heat is absorbed in a chemical reaction, then enthalpy changes are positive.

In the neutralization reaction, heat is released. So, the enthalpy changes of neutralization are always negative.

$\mathrm{Acid} + \mathrm{Base}\to \mathrm{Salt} + \mathrm{Water} + \mathbf{heat}$

Hence, the correct statement would be, enthalpy changes of neutralization are always negative.