Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 86, pp. 1-14. Title: Random dynamical systems on time scales Authors: Cristina Lungan (Gheorghe Tatarascu School, Romania) Vasile Lupulescu (Constantin Brancusi Univ., Romania) Abstract: The purpose of this paper is to prove the existence and uniqueness of solution for random dynamic systems on time scales. Submitted January 12, 2012. Published May 31, 2012. Math Subject Classifications: 34N05, 37H10, 26E70. Key Words: Differential equation; random variable; time scale.