We theoretically show that the field-free molecular orientation induced by a single-color or dual-color pulse can be manipulated by changing the pulse linear chirp. It is found that the maximum degrees of molecular orientation created by a single-color chirped field exhibit periodic changes with respect to the increasing of the chirp value. It is also shown that the enhancement or suppression of the molecular orientation excited by a dual-color chirped pulse can be achieved by varying the chirp values of the fundamental field and/or the second harmonic field. (C) 2015 Elsevier B.V. All rights reserved.