A new scheme is proposed to uniquely orient molecules of arbitrary symmetry with respect to the laboratory frame by the interaction of a phase-locked superposition of intense, (omega, 2 omega) two-color laser fields whose polarization directions cross each other obliquely with the polarizability and hyperpolarizability of molecules. Applicability of the present scheme is demonstrated for L-alanine by deriving theoretically the quasi-stationary states created adiabatically in a long laser pulse. The results show that a sufficiently high degree of 3D orientation can be achieved in the moderate laser-intensity range (10(12)-10(13) W/cm(2)) when the initial. rotational temperature is as low as 10(-1) K. (C) 2007 Elsevier B.V. All rights reserved.