In the present note, first we have established Hermite-Hadamard's inequalities for fractional integrals. Second, an integral identity and some Hermite-Hadamard type integral inequalities for the fractional integrals are obtained and these results have some relationships with [S.S. Dragomir, R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett., 11 (5) (1998), 91-95)]. (C) 2011 Elsevier Ltd. All rights reserved.