An analytical method is derived for obtaining the finite deformation of 2-D thin curved laminated beams. The general solutions are expressed by fundamental geometric quantities. As the radius of curvature is given, the fundamental geometric quantities can be calculated to obtain the closed form solutions of the axial force, shear force, bending moment, rotation angle, and deformed or un-deformed displacement fields. The closed-form solutions of the circular curved laminated beams under pure bending moment case are presented. It shows the consistency of the results of present study with those by ANSYS.