Electronic Journal of Differential Equations, Vol. 2007(2007), No. 117, pp. 1-10. Title: Square-mean almost periodic solutions nonautonomous stochastic differential equations Authors: Paul H. Bezandry (Howard Univ., Washington, DC, USA) Toka Diagana (Howard Univ., Washington, DC, USA) Abstract: This paper concerns the square-mean almost periodic solutions to a class of nonautonomous stochastic differential equations on a separable real Hilbert space. Using the so-called "Acquistapace-Terreni" conditions, we establish the existence and uniqueness of a square-mean almost periodic mild solution to those nonautonomous stochastic differential equations. Submitted May 1, 2007. Published September 02, 2007. Math Subject Classifications: 34K14, 60H10, 35B15, 34F05. Key Words: Stochastic differential equation; stochastic processes; square-mean almost periodic; Wiener process; Acquistapace-Terreni conditions.