Cayley graph is a crucial object in the study of groups and graphs. In this talk, I will first give examples of Cayley graphs of some solvable groups, including circulants and dihedrants. Then I will focus on the s-arc-transitivity, a kind of high symmetry, of Cayley graphs of solvable groups. In particular, I will present a recent result characterizing 2-arc-transitive Cayley graphs of solvable groups. This is a joint work with Professor Cai Heng Li.