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<p/> <p>We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form <inline-formula> <graphic file="1687-1847-2008-816091-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-1847-2008-816091-i2.gif"/></inline-formula> denotes the greatest integer function, <inline-formula> <graphic file="1687-1847-2008-816091-i3.gif"/></inline-formula> is a real nonzero constant, and <inline-formula> <graphic file="1687-1847-2008-816091-i4.gif"/></inline-formula> is almost periodic.</p>