Abstract:The authors investigate the almost periodic solution of neutral functional equation with infinite delay of the following d/dt[x(t)-∫0-∞q(s)x(t+s)ds]=A(t,x)x(t)+f(t,xt) Some results on the existence and uniqueness of almost periodic solutions are obtained by use of Ch space, matrix measure and Krasnoselskii's fixed theorem. Especially, whenq(s)is zero matrix, we derive sufficient conditions for the existence of a unique and uniformly stable almost periodic solution, which generalizes several results in references[1~5].